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Karlovych, Oleksiy, and Sandra Mary Thampi. "Fredholm discrete Wiener-Hopf operators on reflexive rearrangement-invariant Banach sequence spaces are one-sided invertible." \i Georgian Mathematical Journal\i0  (In Press).\par \par Karlovych, Oleksiy, and Eugene Shargorodsky. "Wiener-Hopf factorisation and Fredholmness of Toeplitz operators on abstract Hardy spaces." \i Integral Equations and Operator Theory\i0  (In Press).\par \par Karlovych, Oleksiy, and Sandra Mary Thampi. "Gohberg-Krupnik localisation for discrete Wiener-Hopf operators  on Orlicz sequence spaces." \i Journal of Mathematical Sciences\i0 . 298 (2026): 377-396.\par \par Karlovych, Oleksiy, and Eugene Shargorodsky. "Introduction to the spectral theory of Toeplitz operators." \i Concrete Operators\i0 . 13.1 (2026): 20250019.\par \par Karlovych, Oleksiy, and Eugene Shargorodsky. "Maximal noncompactness of Wiener-Hopf operators." \i Journal of Mathematical Sciences\i0 . 298 (2026): 438-447.\par \par Karlovych, Oleksiy, and Eugene Shargorodsky. "Minimality of the Riesz projection among projections onto abstract Hardy spaces and related topics." \i Journal of Fourier Analysis and Applications\i0 . 32.2 (2026): 34.\par \par Karlovych, Oleksiy, and Sandra Mary Thampi. "On multiplier analogues of the algebra C+H^\\infty on weighted rearrangement-invariant sequence spaces." \i Journal of Approximation Theory\i0 . 314.1 (2026): 106223.\par \par B\'f6ttcher, Albrecht, Oleksiy Karlovych, Eugene Shargorodsky, and Ilya M. Spitkovsky(eds.) \i Achievements and Challenges in the Field of Convolution Operators. The Yuri Karlovich Anniversary Volume. Operator Theory: Advances and Applications, vol. 306\i0 . Cham: Birkh\'e4user, 2025.\par \par Karlovych, Oleksiy, and Eugene Shargorodsky. "The essential norms of Toeplitz operators with symbols in $C+H^\\infty$ on weighted Hardy spaces are independent of the weights." \i Integral Equations and Operator Theory\i0 . 97 (2025): article 4.\par \par Karlovych, Oleksiy. "Fredholmness of pseudodifferential operators on rearrangement-invariant spaces." \i Pseudo-Differential Operators and Related Topics, Extended Abstracts PSORT 2024\i0 . Eds. Vishvesh Kumar, David Rottensteiner, and Michael Ruzhansky. Cham: Birkh\'e4user,  2025. 39-46.\par \par Karlovych, Oleksiy, and Alina Shalukhina. "A necessary condition for the boundedness of the maximal operator on Lp(?) over reverse doubling spaces of homogeneous type." \i Analysis Mathematica\i0 . 51.1 (2025): 241-248.\par \par Fernandes, Cl\'e1udio, and Oleksiy Karlovych. "On pseudodifferential operators with slowly oscillating symbols on variable Lebesgue spaces with Khvedelidze weights." \i Achievements and Challenges in the Field of Convolution Operators. The Yuri Karlovich Anniversary Volume. Operator Theory: Advances and Applications, vol. 306\i0 . Eds. Albrecht B\'f6ttcher, Oleksiy Karlovych, Eugene Shargorodsky, and Ilya Spitkovsky. Cham: Birkh\'e4user,  2025. 201-214.\par \par Karlovych, Oleksiy, and M\'e1rcio Valente. "On the algebra of singular integral operators with almost periodic coefficients." \i Achievements and Challenges in the Field of Convolution Operators. The Yuri Karlovich Anniversary Volume. Operator Theory: Advances and Applications, vol. 306\i0 . Eds. Albrecht B\'f6ttcher, Oleksiy Karlovych, Eugene Shargorodsky, and Ilya Spitkovsky. Cham: Birkh\'e4user,  2025. 247-262.\par \par Karlovych, Oleksiy, and Eugene Shargorodsky. "On the essential norms of Toeplitz operators on abstract Hardy spaces built upon Banach function spaces." \i Bolet\'edn de la Sociedad Matem\'e1tica Mexicana\i0 . 31 (2025): 8.\par \par Karlovych, Oleksiy, and Eugene Shargorodsky. "On the essential norms of Toeplitz operators with symbols in C+H-infinity acting on abstract Hardy spaces built upon translation-invariant Banach function spaces." \i Bulletin des Sciences Math\'e9matiques\i0 . 201 (2025): 103599.\par \par Karlovych, Oleksiy, and M\'e1rcio Valente. "On the operator and essential norms of Fourier convolution operators and Wiener-Hopf operators with the same symbol." \i Operator Theory, Related Fields, and Applications, vol. \i0  Eds. Joseph Ball, Hans-Olav Tylli, and Jani Virtanen. Birkh\'e4user,  2025. 361-377.\par \par Karlovych, Oleksiy, and Eugene Shargorodsky. "Bounded compact and dual compact approximation properties of Hardy spaces: new results and open problems." \i Indagationes Mathematicae\i0 . 35.1 (2024): 143-158.\par \par Karlovych, Oleksiy, and Sandra Mary Thampi. "The Brown-Halmos theorem for discrete Wiener-Hopf operators." \i Advances in Operator Theory\i0 . 9 (2024): 69.\par \par Karlovych, Oleksiy, and Eugene Shargorodsky. "Discrete Riesz transforms on rearrangement-invariant Banach sequence spaces and maximally noncompact operators." \i Pure and Applied Functional Analysis\i0 . 9.1 (2024): 195-210.\par \par Karlovych, Oleksiy, and Alina Shalukhina. "Maximal noncompactness of singular integral operators on L2 spaces with some Khvedelidze weights." \i Operator and Matrix Theory, Function Spaces, and Applications, Proceedings of the International Workshop on Operator Theory and its Applications (IWOTA 2022). Operator Theory: Advances and Applications, vol. 295\i0 . 2024. 279-295.\par \par Karlovych, Oleksiy, and Alina Shalukhina. "Maximal noncompactness of singular integral operators on Lp spaces with power weights." \i Tbilisi Analysis and PDE Seminar. Extended Abstracts of the 2020-2023 Seminar Talks\i0 . Eds. Rolnad Duduchava, Eugene Shargorodsky, and George Tephnadze. Cham: Birkh\'e4user,  2024. 87-97.\par \par Karlovych, Oleksiy, and Eugene Shargorodsky. "On dilations of Fourier multipliers on weighted Lebesgue spaces." \i Analysis Without Borders. Operator Theory: Advances and Applications, vol 297\i0 . Ed. Sergei Rogosin. Cham: Birkh\'e4user,  2024. 109-122.\par \par Karlovych, Oleksiy, and M\'e1rcio Valente. "On the algebras of Wiener-Hopf operators with continuous symbols acting on some Banach function spaces." \i Analysis Without Borders. Operator Theory: Advances and Applications, vol 297\i0 . Ed. Sergei Rogosin. 2024. 123-144.\par \par Curbera, Guillermo P., Oleksiy Karlovych, and Eugene Shargorodsky. "On the full range of Zippin and inclusion indices of rearrangement-invariant spaces." \i Revista de la Real Academia de Ciencias Exactas, F\'edsicas y Naturales. Serie A. Matem\'e1ticas\i0 . 118 (2024): 93.\par \par Karlovych, Oleksiy, and Eugene Shargorodsky. "A remark on piecewise linear interpolation of continuous Fourier multipliers." \i Tbilisi Analysis and PDE Seminar. Extended Abstracts of the 2020-2023 Seminar Talks\i0 . Eds. Rolnad Duduchava, Eugene Shargorodsky, and George Tephnadze. Cham: Birkh\'e4user,  2024. 99-107.\par \par Karlovych, Oleksiy, and Eugene Shargorodsky. "A remark on Toeplitz and Laurent operators acting on l-p spaces with power weights." \i Linear Algebra and Applications\i0 . 697 (2024): 82-92.\par \par Diening, Lars, Oleksiy Karlovych, and Eugene Shargorodsky. "Addendum to "On interpolation of reflexive variable Lebesgue spaces on which the Hardy?Littlewood maximal operator is bounded"." \i Georgian Mathematical Journal \i0 . 30.2 (2023): 211-212.\par \par Karlovych, Oleksiy, and Eugene Shargorodsky. "The Coburn lemma and the Hartman-Wintner-Simonenko theorem for Toeplitz operators on abstract Hardy spaces." \i Integral Equations and Operator Theory\i0 . 95 (2023): 6.\par \par Karlovych, Oleksiy, and Eugene Shargorodsky. "On the interpolation constants for variable Lebesgue spaces." \i Mathematische Nachrichten\i0 . 296 (2023): 2877-2902.\par \par Karlovych, Oleksiy, and Eugene Shargorodsky. "On the weak convergence of shift operators to zero on rearrangement-invariant spaces." \i Revista Matem\'e1tica Complutense\i0 . 36.1 (2023): 91-124.\par \par Karlovych, Oleksiy, and Eugene Shargorodsky. "Remark on singular integral operators of convolution type on  rearrangement-invariant Banach function spaces." \i Real Analysis Exchange\i0 . 48.1 (2023): 139-148.\par \par Karlovych, Oleksiy, and Eugene Shargorodsky. "When are the norms of the Riesz projection and the backward shift operator equal to one?" \i Journal of Functional Analysis\i0 . 285.12 (2023): Paper No. 110158.\par \par Fernandes, Cl\'e1udio A., Alexei Yu. Karlovich, and Yuri I. Karlovich. "Fourier convolution operators with symbols equivalent to zero at infinity on Banach function spaces." \i Current Trends in Analysis, its Applications and Computation\i0 . Eds. P. Cerejeiras, M. Reissig, I. Sabadini, and J. Toft. Springer,  2022. 335-343.\par \par Fernandes, Cl\'e1udio, Oleksiy Karlovych, and Samuel Medalha. "Invertibility of Fourier convolution operators with PC symbols on variable Lebesgue spaces with Khvedelidze weights." \i Journal of Mathematical Sciences\i0 . 266.3 (2022): 419-434.\par \par Karlovich, Alexei, and Eugene Shargorodsky. "A lower estimate for weak-type Fourier multipliers." \i Complex Variables and Elliptic Equations\i0 . 67.3 (2022): 642-660.\par \par Karlovich, Alexei, and Eugene Shargorodsky. "On an analogue of a theorem by Astala and Tylli." \i Archiv der Mathematik\i0 . 118 (2022): 73-77.\par \par Diening, Lars, Oleksiy Karlovych, and Eugene Shargorodsky. "On interpolation of reflexive variable Lebesgue spaces on which the Hardy-Littlewood maximal operator is bounded." \i Georgian Mathematical Journal \i0 . 29.3 (2022): 347-352.\par \par Fernandes, Cl\'e1udio, Oleksiy Karlovych, and M\'e1rcio Valente. "On the density of Laguerre functions in some Banach function spaces." \i Journal of Inequalities and Special Functions\i0 . 13.2 (2022): 37-45.\par \par Karlovych, Oleksiy, and Eugene Shargorodsky. "On the essential norms of singular integral operators with constant coeffcients and of the backward shift." \i Proceedings of the American Mathematical Society B\i0 . 9 (2022): 60-70.\par \par Karlovych, Oleksiy, and Eugene Shargorodsky. "Toeplitz operators with non-trivial kernels and non-dense ranges on weak Hardy spaces." \i Toeplitz Operators and Random Matrices. In Memory of Harold Widom. Operator Theory: Advances and Applications, vol. 289\i0 . Eds. Estelle Basor, Albrecht \'a8B\'f6ttcher, and Torsten Ehrhardt. Birkh\'e4user,  2022. 463-476.\par \par Karlovich, Alexei, and Eugene Shargorodsky. "Algebras of convolution type  operators with continuous data  do not always contain  all rank one operators." \i Integral Equations and Operator Theory\i0 . 93.2 (2021): 16.\par \par Fernandes, Cl\'e1udio A., Alexei Yu. Karlovich, and Yuri I. Karlovich. "Banach algebras of Fourier multipliers equivalent at infinity to nice Fourier multipliers." \i Banach Journal of Mathematical Analysis\i0 . 15 (2021): 29.\par \par Fernandes, Cl\'e1udio A., Alexei Yu. Karlovich, and Yuri I. Karlovich. "Calkin images of Fourier convolution operators with slowly oscillating symbols." \i Operator Theory, Functional Analysis and Applications. Operator Theory: Advances and Applications, vol 282.\i0  Basel: Birkh\'e4user Basel,  2021. 193-218.\par \par Karlovich, Alexei Yu., and Eugene Shargorodsky. "An example of a reflexive Lorentz Gamma space with trivial Boyd and Zippin indices." \i Czechoslovak Mathematical Journal\i0 . 71.4 (2021): 1199-1209.\par \par Fernandes, Cl\'e1udio A., Alexei Yu. Karlovich, and M\'e1rcio Valente. "Invertibility of Fourier convolution operators with piecewise continuous  symbols on Banach function spaces." \i Transactions of A. Razmadze Mathematical Institute\i0 . 175.1 (2021): 49-61.\par \par Canarias, Tiago, Alexei Karlovich, and Eugene Shargorodsky. "Multiplication Is an open bilinear mapping in the Banach algebra of functions of bounded Wiener $p$-variation." \i Real Analysis Exchange\i0 . 46.1 (2021): 121-148.\par \par Karlovich, Alexei Yu. "Noncompactness of Toeplitz operators between abstract Hardy spaces." \i Advances in Operator Theory\i0 . 6 (2021): 29.\par \par Bastos, Maria Am\'e9lia, Lu\'eds Castro, and Alexei Yu. Karlovich(eds.) \i Operator Theory, Functional Analysis and Applications\i0 . Basel: Birkh\'e4user, 2021.\par \par Karlovich, Alexei. "Toeplitz operators between distinct abstract Hardy spaces." \i Extended Abstracts Fall 2019. Trends in Mathematics, vol 12. \i0  Eds. Abakumov E., Baranov A., Borichev A., Fedorovskiy K., and Ortega-Cerd\'e0 J. Cham: Birkh\'e4user,  2021. 105-112.\par \par Karlovich, Alexei Yu. "Wavelet bases in Banach function spaces." \i Bulletin of the Malaysian Mathematical Sciences Society\i0 . 44.3 (2021): 1669-1689.\par \par Karlovich, Alexei Yu. "Algebras of continuous Fourier multipliers on variable Lebesgue spaces." \i Mediterranean Journal of Mathematics\i0 . 17.102 (2020): 19 pages.\par \par Karlovich, Alexei Yu. "Hardy-Littlewood maximal operator on reflexive variable Lebesgue spaces  over spaces of homogeneous type." \i Studia Mathematica\i0 . 254.2 (2020): 149-178.\par \par Fernandes, Cl\'e1udio A., and Alexei Yu. Karlovich. "Semi-almost periodic Fourier multipliers on rearrangement-invariant spaces with suitable Muckenhoupt weights." \i Bolet\'edn de la Sociedad Matem\'e1tica Mexicana\i0 . 26.3 (2020): 1135-1162.\par \par Fernandes, Cl\'e1udio A., Alexei Yu. Karlovich, and Yuri. I. Karlovich. "Algebra of convolution type operators with continuous data on Banach function spaces." \i Banach Center Publications\i0 . 119 (2019): 157-171.\par \par Karlovich, Alexei, and Eugene Shargorodsky. "The Brown-Halmos theorem for a pair of abstract Hardy spaces." \i Journal of Mathematical Analysis and Applications\i0 . 472 (2019): 246-265.\par \par Karlovich, Alexei Yu. "Hardy-Littlewood maximal operator on the associate space of a Banach function space." \i Real Analysis Exchange\i0 . 44.1 (2019): 119-140.\par \par Fernandes, Cl\'e1udio A., Alexei Yu. Karlovich, and Yuri I. Karlovich. "Noncompactness of Fourier convolution operators on Banach function spaces." \i Annals of Functional Analysis\i0 . 10.4 (2019):  553-561.\par \par Karlovich, Alexei Yu., and Eugene Shargorodsky. "When does the norm of a Fourier multiplier dominate its L-infinfty norm?" \i Proceedings of the London Mathematical Society\i0 . 118 (2019): 901-941.\par \par Karlovich, Alexei Yu. "The Coburn-Simonenko theorem for Toeplitz operators acting between Hardy type subspaces of different Banach function spaces." \i Mediterranean Journal of Mathematics\i0 . 15 (2018): 91.\par \par Karlovich, Alexei Yu., Yuri I. Karlovich, and Amarino B. Lebre. "Criteria for n(d)-normality of weighted singular integral operators  with shifts and slowly oscillating data." \i Proceedings of the London Mathematical Society\i0 . 116.4 (2018): 997-1027 .\par \par Karlovich, Alexei Yu., and Eugene Shargorodsky. "More on the density of analytic polynomials in abstract Hardy spaces." \i The Diversity and Beauty of Applied Operator Theory. Operator Theory: Advances and Applications, vol. 268\i0 . Eds. Albrecht B\'f6ttcher, Daniel Potts, Peter Stollman, and David Wenzel. Basel: Birkh\'e4user,  2018. 319-329.\par \par Andr\'e9, Carlos, Maria Am\'e9lia Bastos, Alexei Yu. Karlovich, Bernd Silbermann, and Ion Zaballa(Eds.) \i Operator Theory, Operator Algebras, and Matrix Theory\i0 . Basel: Birkh\'e4user, 2018.\par \par Karlovich, Alexei Yu., Yuri I. Karlovich, and Amarino B. Lebre. "Semi-Fredholmness of weighted singular integral operators with shifts and slowly oscillating data." \i Operator Theory, Operator Algebras, and Matrix Theory. Operator Theory: Advances and Applications, vol. 267. \i0  Eds. Carlos Andr\'e9, Maria Am\'e9lia Bastos, Alexei Yu. Karlovich, Bernd Silbermann, and Ion Zaballa. Basel: Birkh\'e4user,  2018. 221-246.\par \par Karlovich, Alexei Yu. "Density of analytic polynomials in abstract Hardy spaces." \i Commentationes Mathematicae\i0 . 57.2 (2017): 131-141.\par \par Karlovich, Alexei Yu., Yuri I. Karlovich, and Amarino B. Lebre. "The index of weighted singular integral operators with shifts and slowly oscillating data." \i Journal of Mathematical Analysis and Applications\i0 . 450 (2017): 606-630.\par \par Bini, Dario, Torsten Ehrhardt, Alexei Yu. Karlovich, and Ilya M. Spitkovsky(eds.) \i Large Truncated Toeplitz Matrices, Toeplitz Operators, and Related Topics. The Albrecht B\'f6ttcher Anniversary Volume\i0 . Basel: Birkh\'e4user Basel, 2017.\par \par Karlovich, Alexei Yu., Yuri I. Karlovich, and Amarino B. Lebre. "Necessary Fredholm conditions for weighted singular integral operators with shifts and slowly oscillating data." \i Journal of Integral Equations and Applications\i0 . 29.3 (2017): 365-399.\par \par Karlovich, Alexei Yu. "Toeplitz operators on abstract Hardy spaces built upon Banach function spaces." \i Journal of Function Spaces\i0 . 2017 (2017): Article ID 9768210, 8 pages.\par \par Karlovich, Alexei Yu., Yuri I. Karlovich, and Amarino B. Lebre. "The generalized Cauchy index of some semi-almost periodic functions." \i Bolet\'edn de la Sociedad Matem\'e1tica Mexicana\i0 . 22.2 (2016): 473-485.\par \par Karlovich, Alexei Yu., Yuri I. Karlovich, and Amarino B. Lebre. "On a weighted singular integral operator with shifts and slowly oscillating data." \i Complex Analysis and Operator Theory\i0 . 10.6 (2016): 1101-1131.\par \par Karlovich, Alexei Yu., Yuri I. Karlovich, and Amarino B. Lebre. "One-sided invertibility criteria for binomial functional operators with shift and slowly oscillating data." \i Mediterranean Journal of Mathematics\i0 . 13.6 (2016): 4413-4435.\par \par Karlovich, Alexei Yu. "Banach algebra of the Fourier multipliers on weighted Banach function spaces." \i Concrete Operators\i0 . 2.1 (2015): 27-36.\par \par Karlovich, Alexei Yu. "Commutators of convolution type operators on some Banach function spaces." \i Annals of Functional Analysis\i0 . 6.4 (2015): 191-205.\par \par Karlovich, Alexei Yu. "Fredholmness and index of simplest weighted singular integral operators with two slowly oscillating shifts." \i Banach Journal of Mathematical Analysis\i0 . 9.3 (2015): 24-42.\par \par Karlovich, Alexei Yu. "Maximally modulated singular integral operators and their applications to pseudodifferential operators on Banach function spaces." \i Function Spaces in Analysis. Contemporary Mathematics, 645\i0 . Ed. Krzysztof Jarosz. Providence, Rhode Island: American Mathematical Society,  2015. 165-178.\par \par Karlovich, Alexei Yu. "The Stechkin inequality for Fourier multipliers on variable Lebesgue spaces." \i Mathematical Inequalities and Applications\i0 . 18.4 (2015): 1473-1481.\par \par Karlovich, Alexei Yu. "Boundedness of pseudodifferential operators on Banach function spaces." \i Operator Theory, Operator Algebras and Applications. Operator Theory: Advances and Applications, 242\i0 . Eds. Maria Am\'e9lia Bastos, Amarino Lebre, Stefan Samko, and Ilya M. Spitkovsky. Basel: Birkh\'e4user/Springer,  2014. 185-195.\par \par Karlovich, Alexei Yu., and Ilya M. Spitkovsky. "The Cauchy singular integral operator on weighted variable Lebesgue spaces." \i Concrete Operators, Spectral Theory, Operators in Harmonic Analysis and Approximation. Operator Theory: Advances and Applications, 236\i0 . Eds. Manuel Cepedello Boiso, H\'e5kan Hedenmalm, Marinus A. Kaashoek, Alfonso Montes Rodr\'edguez, and Sergei Treil. Basel: Birkh\'e4user,  2014. 275-291.\par \par Karlovich, Alexei Yu., Yuri I. Karlovich, and Amarino B. Lebre. "Fredholmness and index of simplest singular integral operators with two slowly oscillating shifts." \i Operators and Matrices\i0 . 8.4 (2014): 935-955.\par \par Karlovich, Alexei Yu., Yuri I. Karlovich, and Amarino B. Lebre. "On regularization of Mellin PDO's with slowly oscillating symbols of limited smoothness." \i Communications in Mathematical Analysis\i0 . 17.2 (2014): 189-208.\par \par Karlovich, Alexei Yu., and Ilya M. Spitkovsky. "Pseudodifferential operators on variable Lebesgue spaces." \i Operator Theory, Pseudo-Differential Equations, and Mathematical Physics. Operator Theory: Advances and Applications, 228\i0 . Eds. Yuri I. Karlovich, Luigi Rodino, Bernd Silbermann, and Ilya M. Spitkovsky. Basel: Birkh\'e4user,  2013. 173-183.\par \par Karlovich, Alexei Yu., Yuri I. Karlovich, and Amarino B. Lebre. "Necessary conditions for Fredholmness of singular integral operators with shifts and slowly oscillating data." \i Integral Equations and Operator Theory\i0 . 71.1 (2011): 29-53.\par \par Karlovich, Alexei Yu., Helena Mascarenhas, and Pedro A. Santos. "Erratum to: Finite section method for a Banach algebra of convolution type operators on Lp(R) with symbols generated by PC and SO (vol 37, pg 559, 2010)." \i Integral Equations and Operator Theory\i0 . 69.3 (2011): 447-449.\par \par Karlovich, Alexei Yu, and Ilya M. Spitkovsky. "On singular integral operators with semi-almost periodic coefficients on variable Lebesgue spaces." \i Journal of Mathematical Analysis and Appliactions\i0 . 384.2 (2011): 706-725.\par \par Karlovich, Alexei Yu, Yuri I. Karlovich, and Amarino B. Lebre. "Sufficient conditions for Fredholmness of singular integral operators with shifts and slowly oscillating data." \i Integral Equations and Operator Theory\i0 . 70.4 (2011): 451-483.\par \par Karlovich, Alexei Yu. "Singular integral operators on Nakano spaces with weights having finite sets of discontinuities." \i Function spaces IX. Proceedings of the 9th international conference, Krak\'f3w, Poland, July 6?11, 2009. Banach Center Publications, 92\i0 . Eds. Henryk Hudzik, Grzegorz Lewicki, Julian Musielak, Marian Nowak, and Leszek Skrzypczak. Warszawa: Polish Academy of Sciences, Institute of Mathematics,  2011. 143-166.\par \par Karlovich, Alexei Yu. "Maximal operators on variable Lebesgue spaces with weights related to oscillations of Carleson curves." \i Mathematische Nachrichten\i0 . 283 (2010): 85-93.\par \par Karlovich, Alexei Yu, Helena Mascarenhas, and Pedro A. Santos. "Finite section method for a Banach algebra of convolution type operators on Lp(R) with symbols generated by PC and SO." \i Integral Equations and Operator Theory\i0 . 67.4 (2010): 559-600.\par \par Karlovich, Alexei Yu. "Singular integral operators on variable Lebesgue spaces over arbitrary Carleson curves." \i Topics in Operator Theory: Operators, Matrices and Analytic Functions, Vol. 1. Operator Theory: Advances and Applications, 202\i0 . Eds. JA Ball, V. Bolotnikov, JW Helton, L. Rodman, and IM Spitkovsky. Basel: Birkh\'e4user,  2010. 321-336.\par \par Karlovich, Alexei Yu. "Singular integral operators on variable Lebesgue spaces with radial oscillating weights." \i Operator Algebras, Operator Theory and Applications.Operator Theory Advances and Applications, 195 \i0 . Eds. JJ Grobler, LE Labuschagne, and M. M\'f6ller. Basel: Birkh\'e4user,  2010. 185-212.\par \par Karlovich, Alexei Yu., and Ilya M. Spitkovsky. "Connectedness of spectra of Toeplitz operators on Hardy spaces with Muckenhoupt weights over Carleson curves." \i Integral Equations and Operator Theory\i0 . 65.1 (2009): 83-114.\par \par Karlovich, Alexei Yu. "Asymptotics of Toeplitz matrices with symbols in some generalized Krein algebras." \i Modern Analysis and Applications: Mark Krein Centenary Conference, Vol. 1. Operator Theory Advances and Applications, 190\i0 . Eds. V. Adamyan, Y. Berezansky, I. Gohberg, M. Gorbachuk, V. Gorbachuk, A. Kochubei, H. Langer, and G. Popov. Basel: Birkh\'e4user,  2009. 341-359.\par \par Karlovich, Alexei Yu. "Remark on the boundedness of the Cauchy singular integral operator on variable Lebesgue spaces with radial oscillating weights." \i Journal of Function Spaces and Applications\i0 . 7 (2009): 301-311.\par \par Karlovich, Alexei Yu. "Higher order asymptotic formulas for traces of Toeplitz matrices with symbols in H\'f6lder-Zygmund spaces." \i Recent Advances in Matrix and Operator Theory. Operator Theory: Advances and Applications, 179\i0 . Eds. Joseph A. Ball, Yuli Eidelman, William J. Helton, Vadim Olshevsky, and James Rovnyak. Basel: Bikh\'e4user,  2008. 185-196.\par \par Karlovich, Alexei Yu. "Higher-order asymptotic formulas for Toeplitz matrices with symbols in generalized H\'f6lder spaces." \i Operator Algebra, Operator Theory and Applications. Operator Theory Advances and Applications, 181\i0 . Eds. MA Bastos, I. Gohberg, AB Lebre, and FO Speck. Basel: Birkh\'e4user,  2008. 207-228.\par \par Karlovich, Alexei Yu., and L. Maligranda. "On the interpolation constant for subadditive operators in Orlicz spaces." \i Proceedings of the International Symposium on Banach and Function Spaces II (ISBFS 2006), Kyushu Institute of Technology, Kitakyushu, Japan, 14-17 September 2006.\i0  Eds. M. Kato, and L. Maligranda. Yokohama: Yokohama Publishers,  2008. 85-101.\par \par Karlovich, Alexei Yu. "Algebras of singular integral operators with piecewise continuous coefficients on weighted Nakano spaces." \i The Extended Field of Operator Theory. Operator Theory: Advances and Applications, 171\i0 . Ed. Michael A. Dritschel. Basel: Birkh\'e4user,  2007. 171-188.\par \par Karlovich, Alexei Yu. "Asymptotics of block Toeplitz determinants generated by factorable matrix functions with equal partial indices." \i Mathematische Nachrichten\i0 . 280 (2007): 1118-1127.\par \par Karlovich, Alexei Yu. "Asymptotics of determinants and traces of Toeplitz matrices with symbols in weighted Wiener algebras." \i Zeitschrift f\'fcr Analysis und ihre Anwendungen\i0 . 26.1 (2007): 43-56.\par \par Karlovich, Alexei Yu. "Asymptotics of Toeplitz determinants generated by functions with Fourier coefficients in weighted Orlicz sequence classes." \i Function Spaces. Contemporary Mathematics, 435\i0 . Ed. K. Jarosz. Providence, RI: American Mathematical Society,  2007. 229-243.\par \par B\'f6ttcher, Albrecht, Alexei Yu. Karlovich, and Bernd Silbermann. "Generalized Krein algebras and asymptotics of Toeplitz determinants." \i Methods of Functional Analysis and Topology\i0 . 13.2 (2007): 236-261.\par \par Karlovich, Alexei Yu. "Semi-Fredholm singular integral operators with piecewise continuous coefficients on weighted variable Lebesgue spaces are Fredholm." \i Operators and Matrices\i0 . 1.3 (2007): 427-444.\par \par Karlovich, AY. "Higher order asymptotics of Toeplitz determinants with symbols in weighted Wiener algebras." \i Journal of Mathematical Analysis and Applications\i0 . 320.2 (2006): 944-963.\par \par Karlovich, Alexei Yu. "Algebras of singular integral operators on Nakano spaces with Khvedelidze weights over Carleson curves with logarithmic whirl points." \i Izvestiya Vysshih Uchebnyh Zavedeniy. Severo-Kavkazskiy Region. Estestvennye Nauki. Special Issue "Pseudodifferential equations and some problems of mathematical physics"\i0 . Rostov-on-Don: Rostov University Press,  2005. 135-142.\par \par Karlovich, Alexei Yu., and Andrei K. Lerner. "Commutators of singular integrals on generalized Lp spaces with variable exponent." \i Publicacions Matematiques\i0 . 49.1 (2005): 111-125.\par \par Karlovich, Alexei Yu., and Pedro A. Santos. "On asymptoties of Toeplitz determinants with symbols of nonstandard smoothness." \i Journal of Fourier Aanalysis and Applications\i0 . 11.1 (2005): 43-72.\par \par Karlovich, Alexei Yu. "Norms of Toeplitz and Hankel operators on Hardy type subspaces of rearrangement-invariant spaces." \i Integral Equations and Operator Theory\i0 . 49 (2004): 43-64.\par \par Karlovich, Alexei Yu. "Singular integral operators with flip and unbounded coefficients on rearrangement-invariant spaces." \i Functional Analysis and its Applications. Proceedings of the international conference, dedicated to the 110th anniversary of Stefan Banach, Lviv National University, Lviv, Ukraine, May 28--31, 2002\i0 . Eds. V. Kadets, and W. Zelazko. Amsterdam: Elsevier,  2004. 123-131.\par \par Karlovich, Alexei Yu. "Some algebras of functions with Fourier coefficients in weighted Orlicz sequence spaces." \i Operator Theoretical Methods and Applications to Mathematical Physics. The Erhard Meister Memorial Volume. Operator Theory: Advances and Applications, 147\i0 . Eds. Israel Gohberg, Wolfgang Wendland, Ant\'f3nio Ferreira dos Santos, Frank-Ollme Speck, and Francisco Sep\'falveda Teixeira. Basel: Birkh\'e4user,  2004. 287-296.\par \par Karlovich, Alexei Yu., and Yuri I. Karlovich. "Compactness of commutators arising in the Fredholm theory of singular integral operators with shifts." \i Factorization, Singular Operators and Related Problems\i0 . Eds. Stefan Samko, Amarino Lebre, and Ant\'f3nio Ferreira dos Santos. Dordrecht: Kluwer Academic Publishers,  2003. 111-129.\par \par Karlovich, Alexei Yu. "Fredholmness of singular integral operators with piecewise continuous coefficients on weighted Banach function spaces." \i Journal of Integral Equations and Applications\i0 . 15.3 (2003): 263-320.\par \par Karlovich, Alexei Yu., Yuri I. Karlovich, and Amarino B. Lebre. "Invertibility of functional operators with slowly oscillating non-Carleman shifts." \i Singular Integral Operators, Factorization and Applications. Operator Theory: Advances and Applications, 142\i0 . Eds. Albrecht B\'f6ttcher, Marinus A. Kaashoek, Amarino Brites Lebre, Ant\'f3nio Ferreira dos Santos, and Frank-Olme Speck. Basel: Birkh\'e4user,  2003. 147-174.\par \par Karlovich, Alexei Yu. "Algebras of singular integral operators with PC coefficients in rearrangement-invariant spaces with Muckenhoupt weights." \i Journal of Operator Theory\i0 . 47 (2002): 303-323.\par \par Karlovich, Alexei Yu., and Yuri I. Karlovich. "One-sided invertibility of binomial functional operators with a shift on rearrangement-invariant spaces." \i Integral Equations and Operator Theory\i0 . 42 (2002): 201-228.\par \par Karlovich, Alexei Yu. "Algebras of singular integral operators on rearrangement-invariant spaces and Nikolski ideals." \i The New York Journal of Mathematics\i0 . 8 (2002): 215-234.\par \par Karlovich, Alexei Yu., and Yuri I. Karlovich. "Invertibility in Banach algebras of functional operators with non-Carleman shifts." \i Ukrains'kyj matematychnyj kongres -- 2001. Pratsi. Sektsiya 11. Funktsional'nyj analiz\i0 . Kyiv: Instytut Matematyky NAN Ukrainy,  2002. 107-124.\par \par Karlovich, Alexei Yu. "Criteria for one-sided invertibility of a functional operator in rearrangement-invariant spaces of fundamental type." \i Mathematische Nachrichten\i0 . 229 (2001): 91-118.\par \par Karlovich, Alexei Yu., and Lech Maligranda. "On the interpolation constant for Orlicz spaces." \i Proceedings of the American Mathematical Society\i0 . 129 (2001): 2727-2739.\par \par Karlovich, Alexei Yu. "On the essential norm of the Cauchy singular integral operator in weighted rearrangement-invariant spaces." \i Integral Equations and Operator Theory\i0 . 38 (2000): 28-50.\par \par Karlovich, Alexei Yu. "The index of singular integral operators in reflexive Orlicz spaces." \i Mathematical Notes\i0 . 64.3 (1998): 330-341.\par \par Karlovich, Alexei Yu. "Singular integral operators with piecewise continuous coefficients in reflexive rearrangement-invariant spaces." \i Integral Equations and Operator Theory\i0 . 32 (1998): 436-481.\par \par Karlovich, Alexei Yu. "Singular integral operators with regulated coefficients in reflexive Orlicz spaces." \i Siberian Mathematical Journal\i0 . 38.2 (1997): 253-266.\par \par Karlovich, Alexei Yu. "Singular integral operators with piecewise continuous coefficients on reflexive Orlicz spaces." \i Doklady Akademii Nauk\i0 . 349 (1996): 10-12.\par \par Karlovich, Alexei Yu. "Algebras of singular integral operators with piecewise continuous coefficients on reflexive Orlicz spaces." \i Mathematische Nachrichten\i0 . 179 (1996): 187-222.\par \par ????????, ??????? \i ?? ??????? ??????????? ???????????? ?????????? ? ???????????? ????????????? ?????? ?? ?????? ?????????\i0 . ??????? ??????, ??????????? ??????? ? ??????? ??????????. ?????: ???????????? ???????????????, 1996.\par \par }