Karlovych, Oleksiy, and Sandra Mary Thampi. "Fredholm discrete Wiener-Hopf operators on reflexive rearrangement-invariant Banach sequence spaces are one-sided invertible." Georgian Mathematical Journal (In Press).

Karlovych, Oleksiy, and Eugene Shargorodsky. "Wiener-Hopf factorisation and Fredholmness of Toeplitz operators on abstract Hardy spaces." Integral Equations and Operator Theory (In Press).

Karlovych, Oleksiy, and Sandra Mary Thampi. "Gohberg-Krupnik localisation for discrete Wiener-Hopf operators  on Orlicz sequence spaces." Journal of Mathematical Sciences. 298 (2026): 377-396.

Karlovych, Oleksiy, and Eugene Shargorodsky. "Introduction to the spectral theory of Toeplitz operators." Concrete Operators. 13.1 (2026): 20250019.

Karlovych, Oleksiy, and Eugene Shargorodsky. "Maximal noncompactness of Wiener-Hopf operators." Journal of Mathematical Sciences. 298 (2026): 438-447.

Karlovych, Oleksiy, and Eugene Shargorodsky. "Minimality of the Riesz projection among projections onto abstract Hardy spaces and related topics." Journal of Fourier Analysis and Applications. 32.2 (2026): 34.

Karlovych, Oleksiy, and Sandra Mary Thampi. "On multiplier analogues of the algebra C+H^\infty on weighted rearrangement-invariant sequence spaces." Journal of Approximation Theory. 314.1 (2026): 106223.

Böttcher, Albrecht, Oleksiy Karlovych, Eugene Shargorodsky, and Ilya M. Spitkovsky(eds.) Achievements and Challenges in the Field of Convolution Operators. The Yuri Karlovich Anniversary Volume. Operator Theory: Advances and Applications, vol. 306. Cham: Birkhäuser, 2025.

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." Integral Equations and Operator Theory. 97 (2025): article 4.

Karlovych, Oleksiy. "Fredholmness of pseudodifferential operators on rearrangement-invariant spaces." Pseudo-Differential Operators and Related Topics, Extended Abstracts PSORT 2024. Eds. Vishvesh Kumar, David Rottensteiner, and Michael Ruzhansky. Cham: Birkhäuser,  2025. 39-46.

Karlovych, Oleksiy, and Alina Shalukhina. "A necessary condition for the boundedness of the maximal operator on Lp(?) over reverse doubling spaces of homogeneous type." Analysis Mathematica. 51.1 (2025): 241-248.

Fernandes, Cláudio, and Oleksiy Karlovych. "On pseudodifferential operators with slowly oscillating symbols on variable Lebesgue spaces with Khvedelidze weights." Achievements and Challenges in the Field of Convolution Operators. The Yuri Karlovich Anniversary Volume. Operator Theory: Advances and Applications, vol. 306. Eds. Albrecht Böttcher, Oleksiy Karlovych, Eugene Shargorodsky, and Ilya Spitkovsky. Cham: Birkhäuser,  2025. 201-214.

Karlovych, Oleksiy, and Márcio Valente. "On the algebra of singular integral operators with almost periodic coefficients." Achievements and Challenges in the Field of Convolution Operators. The Yuri Karlovich Anniversary Volume. Operator Theory: Advances and Applications, vol. 306. Eds. Albrecht Böttcher, Oleksiy Karlovych, Eugene Shargorodsky, and Ilya Spitkovsky. Cham: Birkhäuser,  2025. 247-262.

Karlovych, Oleksiy, and Eugene Shargorodsky. "On the essential norms of Toeplitz operators on abstract Hardy spaces built upon Banach function spaces." Boletín de la Sociedad Matemática Mexicana. 31 (2025): 8.

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." Bulletin des Sciences Mathématiques. 201 (2025): 103599.

Karlovych, Oleksiy, and Márcio Valente. "On the operator and essential norms of Fourier convolution operators and Wiener-Hopf operators with the same symbol." Operator Theory, Related Fields, and Applications, vol.  Eds. Joseph Ball, Hans-Olav Tylli, and Jani Virtanen. Birkhäuser,  2025. 361-377.

Karlovych, Oleksiy, and Eugene Shargorodsky. "Bounded compact and dual compact approximation properties of Hardy spaces: new results and open problems." Indagationes Mathematicae. 35.1 (2024): 143-158.

Karlovych, Oleksiy, and Sandra Mary Thampi. "The Brown-Halmos theorem for discrete Wiener-Hopf operators." Advances in Operator Theory. 9 (2024): 69.

Karlovych, Oleksiy, and Eugene Shargorodsky. "Discrete Riesz transforms on rearrangement-invariant Banach sequence spaces and maximally noncompact operators." Pure and Applied Functional Analysis. 9.1 (2024): 195-210.

Karlovych, Oleksiy, and Alina Shalukhina. "Maximal noncompactness of singular integral operators on L2 spaces with some Khvedelidze weights." 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. 2024. 279-295.

Karlovych, Oleksiy, and Alina Shalukhina. "Maximal noncompactness of singular integral operators on Lp spaces with power weights." Tbilisi Analysis and PDE Seminar. Extended Abstracts of the 2020-2023 Seminar Talks. Eds. Rolnad Duduchava, Eugene Shargorodsky, and George Tephnadze. Cham: Birkhäuser,  2024. 87-97.

Karlovych, Oleksiy, and Eugene Shargorodsky. "On dilations of Fourier multipliers on weighted Lebesgue spaces." Analysis Without Borders. Operator Theory: Advances and Applications, vol 297. Ed. Sergei Rogosin. Cham: Birkhäuser,  2024. 109-122.

Karlovych, Oleksiy, and Márcio Valente. "On the algebras of Wiener-Hopf operators with continuous symbols acting on some Banach function spaces." Analysis Without Borders. Operator Theory: Advances and Applications, vol 297. Ed. Sergei Rogosin. 2024. 123-144.

Curbera, Guillermo P., Oleksiy Karlovych, and Eugene Shargorodsky. "On the full range of Zippin and inclusion indices of rearrangement-invariant spaces." Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. 118 (2024): 93.

Karlovych, Oleksiy, and Eugene Shargorodsky. "A remark on piecewise linear interpolation of continuous Fourier multipliers." Tbilisi Analysis and PDE Seminar. Extended Abstracts of the 2020-2023 Seminar Talks. Eds. Rolnad Duduchava, Eugene Shargorodsky, and George Tephnadze. Cham: Birkhäuser,  2024. 99-107.

Karlovych, Oleksiy, and Eugene Shargorodsky. "A remark on Toeplitz and Laurent operators acting on l-p spaces with power weights." Linear Algebra and Applications. 697 (2024): 82-92.

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"." Georgian Mathematical Journal . 30.2 (2023): 211-212.

Karlovych, Oleksiy, and Eugene Shargorodsky. "The Coburn lemma and the Hartman-Wintner-Simonenko theorem for Toeplitz operators on abstract Hardy spaces." Integral Equations and Operator Theory. 95 (2023): 6.

Karlovych, Oleksiy, and Eugene Shargorodsky. "On the interpolation constants for variable Lebesgue spaces." Mathematische Nachrichten. 296 (2023): 2877-2902.

Karlovych, Oleksiy, and Eugene Shargorodsky. "On the weak convergence of shift operators to zero on rearrangement-invariant spaces." Revista Matemática Complutense. 36.1 (2023): 91-124.

Karlovych, Oleksiy, and Eugene Shargorodsky. "Remark on singular integral operators of convolution type on  rearrangement-invariant Banach function spaces." Real Analysis Exchange. 48.1 (2023): 139-148.

Karlovych, Oleksiy, and Eugene Shargorodsky. "When are the norms of the Riesz projection and the backward shift operator equal to one?" Journal of Functional Analysis. 285.12 (2023): Paper No. 110158.

Fernandes, Cláudio A., Alexei Yu. Karlovich, and Yuri I. Karlovich. "Fourier convolution operators with symbols equivalent to zero at infinity on Banach function spaces." Current Trends in Analysis, its Applications and Computation. Eds. P. Cerejeiras, M. Reissig, I. Sabadini, and J. Toft. Springer,  2022. 335-343.

Fernandes, Cláudio, Oleksiy Karlovych, and Samuel Medalha. "Invertibility of Fourier convolution operators with PC symbols on variable Lebesgue spaces with Khvedelidze weights." Journal of Mathematical Sciences. 266.3 (2022): 419-434.

Karlovich, Alexei, and Eugene Shargorodsky. "A lower estimate for weak-type Fourier multipliers." Complex Variables and Elliptic Equations. 67.3 (2022): 642-660.

Karlovich, Alexei, and Eugene Shargorodsky. "On an analogue of a theorem by Astala and Tylli." Archiv der Mathematik. 118 (2022): 73-77.

Diening, Lars, Oleksiy Karlovych, and Eugene Shargorodsky. "On interpolation of reflexive variable Lebesgue spaces on which the Hardy-Littlewood maximal operator is bounded." Georgian Mathematical Journal . 29.3 (2022): 347-352.

Fernandes, Cláudio, Oleksiy Karlovych, and Márcio Valente. "On the density of Laguerre functions in some Banach function spaces." Journal of Inequalities and Special Functions. 13.2 (2022): 37-45.

Karlovych, Oleksiy, and Eugene Shargorodsky. "On the essential norms of singular integral operators with constant coeffcients and of the backward shift." Proceedings of the American Mathematical Society B. 9 (2022): 60-70.

Karlovych, Oleksiy, and Eugene Shargorodsky. "Toeplitz operators with non-trivial kernels and non-dense ranges on weak Hardy spaces." Toeplitz Operators and Random Matrices. In Memory of Harold Widom. Operator Theory: Advances and Applications, vol. 289. Eds. Estelle Basor, Albrecht ¨Böttcher, and Torsten Ehrhardt. Birkhäuser,  2022. 463-476.

Karlovich, Alexei, and Eugene Shargorodsky. "Algebras of convolution type  operators with continuous data  do not always contain  all rank one operators." Integral Equations and Operator Theory. 93.2 (2021): 16.

Fernandes, Cláudio A., Alexei Yu. Karlovich, and Yuri I. Karlovich. "Banach algebras of Fourier multipliers equivalent at infinity to nice Fourier multipliers." Banach Journal of Mathematical Analysis. 15 (2021): 29.

Fernandes, Cláudio A., Alexei Yu. Karlovich, and Yuri I. Karlovich. "Calkin images of Fourier convolution operators with slowly oscillating symbols." Operator Theory, Functional Analysis and Applications. Operator Theory: Advances and Applications, vol 282. Basel: Birkhäuser Basel,  2021. 193-218.

Karlovich, Alexei Yu., and Eugene Shargorodsky. "An example of a reflexive Lorentz Gamma space with trivial Boyd and Zippin indices." Czechoslovak Mathematical Journal. 71.4 (2021): 1199-1209.

Fernandes, Cláudio A., Alexei Yu. Karlovich, and Márcio Valente. "Invertibility of Fourier convolution operators with piecewise continuous  symbols on Banach function spaces." Transactions of A. Razmadze Mathematical Institute. 175.1 (2021): 49-61.

Canarias, Tiago, Alexei Karlovich, and Eugene Shargorodsky. "Multiplication Is an open bilinear mapping in the Banach algebra of functions of bounded Wiener $p$-variation." Real Analysis Exchange. 46.1 (2021): 121-148.

Karlovich, Alexei Yu. "Noncompactness of Toeplitz operators between abstract Hardy spaces." Advances in Operator Theory. 6 (2021): 29.

Bastos, Maria Amélia, Luís Castro, and Alexei Yu. Karlovich(eds.) Operator Theory, Functional Analysis and Applications. Basel: Birkhäuser, 2021.

Karlovich, Alexei. "Toeplitz operators between distinct abstract Hardy spaces." Extended Abstracts Fall 2019. Trends in Mathematics, vol 12.  Eds. Abakumov E., Baranov A., Borichev A., Fedorovskiy K., and Ortega-Cerdà J. Cham: Birkhäuser,  2021. 105-112.

Karlovich, Alexei Yu. "Wavelet bases in Banach function spaces." Bulletin of the Malaysian Mathematical Sciences Society. 44.3 (2021): 1669-1689.

Karlovich, Alexei Yu. "Algebras of continuous Fourier multipliers on variable Lebesgue spaces." Mediterranean Journal of Mathematics. 17.102 (2020): 19 pages.

Karlovich, Alexei Yu. "Hardy-Littlewood maximal operator on reflexive variable Lebesgue spaces  over spaces of homogeneous type." Studia Mathematica. 254.2 (2020): 149-178.

Fernandes, Cláudio A., and Alexei Yu. Karlovich. "Semi-almost periodic Fourier multipliers on rearrangement-invariant spaces with suitable Muckenhoupt weights." Boletín de la Sociedad Matemática Mexicana. 26.3 (2020): 1135-1162.

Fernandes, Cláudio A., Alexei Yu. Karlovich, and Yuri. I. Karlovich. "Algebra of convolution type operators with continuous data on Banach function spaces." Banach Center Publications. 119 (2019): 157-171.

Karlovich, Alexei, and Eugene Shargorodsky. "The Brown-Halmos theorem for a pair of abstract Hardy spaces." Journal of Mathematical Analysis and Applications. 472 (2019): 246-265.

Karlovich, Alexei Yu. "Hardy-Littlewood maximal operator on the associate space of a Banach function space." Real Analysis Exchange. 44.1 (2019): 119-140.

Fernandes, Cláudio A., Alexei Yu. Karlovich, and Yuri I. Karlovich. "Noncompactness of Fourier convolution operators on Banach function spaces." Annals of Functional Analysis. 10.4 (2019):  553-561.

Karlovich, Alexei Yu., and Eugene Shargorodsky. "When does the norm of a Fourier multiplier dominate its L-infinfty norm?" Proceedings of the London Mathematical Society. 118 (2019): 901-941.

Karlovich, Alexei Yu. "The Coburn-Simonenko theorem for Toeplitz operators acting between Hardy type subspaces of different Banach function spaces." Mediterranean Journal of Mathematics. 15 (2018): 91.

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." Proceedings of the London Mathematical Society. 116.4 (2018): 997-1027 .

Karlovich, Alexei Yu., and Eugene Shargorodsky. "More on the density of analytic polynomials in abstract Hardy spaces." The Diversity and Beauty of Applied Operator Theory. Operator Theory: Advances and Applications, vol. 268. Eds. Albrecht Böttcher, Daniel Potts, Peter Stollman, and David Wenzel. Basel: Birkhäuser,  2018. 319-329.

André, Carlos, Maria Amélia Bastos, Alexei Yu. Karlovich, Bernd Silbermann, and Ion Zaballa(Eds.) Operator Theory, Operator Algebras, and Matrix Theory. Basel: Birkhäuser, 2018.

Karlovich, Alexei Yu., Yuri I. Karlovich, and Amarino B. Lebre. "Semi-Fredholmness of weighted singular integral operators with shifts and slowly oscillating data." Operator Theory, Operator Algebras, and Matrix Theory. Operator Theory: Advances and Applications, vol. 267.  Eds. Carlos André, Maria Amélia Bastos, Alexei Yu. Karlovich, Bernd Silbermann, and Ion Zaballa. Basel: Birkhäuser,  2018. 221-246.

Karlovich, Alexei Yu. "Density of analytic polynomials in abstract Hardy spaces." Commentationes Mathematicae. 57.2 (2017): 131-141.

Karlovich, Alexei Yu., Yuri I. Karlovich, and Amarino B. Lebre. "The index of weighted singular integral operators with shifts and slowly oscillating data." Journal of Mathematical Analysis and Applications. 450 (2017): 606-630.

Bini, Dario, Torsten Ehrhardt, Alexei Yu. Karlovich, and Ilya M. Spitkovsky(eds.) Large Truncated Toeplitz Matrices, Toeplitz Operators, and Related Topics. The Albrecht Böttcher Anniversary Volume. Basel: Birkhäuser Basel, 2017.

Karlovich, Alexei Yu., Yuri I. Karlovich, and Amarino B. Lebre. "Necessary Fredholm conditions for weighted singular integral operators with shifts and slowly oscillating data." Journal of Integral Equations and Applications. 29.3 (2017): 365-399.

Karlovich, Alexei Yu. "Toeplitz operators on abstract Hardy spaces built upon Banach function spaces." Journal of Function Spaces. 2017 (2017): Article ID 9768210, 8 pages.

Karlovich, Alexei Yu., Yuri I. Karlovich, and Amarino B. Lebre. "The generalized Cauchy index of some semi-almost periodic functions." Boletín de la Sociedad Matemática Mexicana. 22.2 (2016): 473-485.

Karlovich, Alexei Yu., Yuri I. Karlovich, and Amarino B. Lebre. "On a weighted singular integral operator with shifts and slowly oscillating data." Complex Analysis and Operator Theory. 10.6 (2016): 1101-1131.

Karlovich, Alexei Yu., Yuri I. Karlovich, and Amarino B. Lebre. "One-sided invertibility criteria for binomial functional operators with shift and slowly oscillating data." Mediterranean Journal of Mathematics. 13.6 (2016): 4413-4435.

Karlovich, Alexei Yu. "Banach algebra of the Fourier multipliers on weighted Banach function spaces." Concrete Operators. 2.1 (2015): 27-36.

Karlovich, Alexei Yu. "Commutators of convolution type operators on some Banach function spaces." Annals of Functional Analysis. 6.4 (2015): 191-205.

Karlovich, Alexei Yu. "Fredholmness and index of simplest weighted singular integral operators with two slowly oscillating shifts." Banach Journal of Mathematical Analysis. 9.3 (2015): 24-42.

Karlovich, Alexei Yu. "Maximally modulated singular integral operators and their applications to pseudodifferential operators on Banach function spaces." Function Spaces in Analysis. Contemporary Mathematics, 645. Ed. Krzysztof Jarosz. Providence, Rhode Island: American Mathematical Society,  2015. 165-178.

Karlovich, Alexei Yu. "The Stechkin inequality for Fourier multipliers on variable Lebesgue spaces." Mathematical Inequalities and Applications. 18.4 (2015): 1473-1481.

Karlovich, Alexei Yu. "Boundedness of pseudodifferential operators on Banach function spaces." Operator Theory, Operator Algebras and Applications. Operator Theory: Advances and Applications, 242. Eds. Maria Amélia Bastos, Amarino Lebre, Stefan Samko, and Ilya M. Spitkovsky. Basel: Birkhäuser/Springer,  2014. 185-195.

Karlovich, Alexei Yu., and Ilya M. Spitkovsky. "The Cauchy singular integral operator on weighted variable Lebesgue spaces." Concrete Operators, Spectral Theory, Operators in Harmonic Analysis and Approximation. Operator Theory: Advances and Applications, 236. Eds. Manuel Cepedello Boiso, Håkan Hedenmalm, Marinus A. Kaashoek, Alfonso Montes Rodríguez, and Sergei Treil. Basel: Birkhäuser,  2014. 275-291.

Karlovich, Alexei Yu., Yuri I. Karlovich, and Amarino B. Lebre. "Fredholmness and index of simplest singular integral operators with two slowly oscillating shifts." Operators and Matrices. 8.4 (2014): 935-955.

Karlovich, Alexei Yu., Yuri I. Karlovich, and Amarino B. Lebre. "On regularization of Mellin PDO's with slowly oscillating symbols of limited smoothness." Communications in Mathematical Analysis. 17.2 (2014): 189-208.

Karlovich, Alexei Yu., and Ilya M. Spitkovsky. "Pseudodifferential operators on variable Lebesgue spaces." Operator Theory, Pseudo-Differential Equations, and Mathematical Physics. Operator Theory: Advances and Applications, 228. Eds. Yuri I. Karlovich, Luigi Rodino, Bernd Silbermann, and Ilya M. Spitkovsky. Basel: Birkhäuser,  2013. 173-183.

Karlovich, Alexei Yu., Yuri I. Karlovich, and Amarino B. Lebre. "Necessary conditions for Fredholmness of singular integral operators with shifts and slowly oscillating data." Integral Equations and Operator Theory. 71.1 (2011): 29-53.

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)." Integral Equations and Operator Theory. 69.3 (2011): 447-449.

Karlovich, Alexei Yu, and Ilya M. Spitkovsky. "On singular integral operators with semi-almost periodic coefficients on variable Lebesgue spaces." Journal of Mathematical Analysis and Appliactions. 384.2 (2011): 706-725.

Karlovich, Alexei Yu, Yuri I. Karlovich, and Amarino B. Lebre. "Sufficient conditions for Fredholmness of singular integral operators with shifts and slowly oscillating data." Integral Equations and Operator Theory. 70.4 (2011): 451-483.

Karlovich, Alexei Yu. "Singular integral operators on Nakano spaces with weights having finite sets of discontinuities." Function spaces IX. Proceedings of the 9th international conference, Kraków, Poland, July 6?11, 2009. Banach Center Publications, 92. Eds. Henryk Hudzik, Grzegorz Lewicki, Julian Musielak, Marian Nowak, and Leszek Skrzypczak. Warszawa: Polish Academy of Sciences, Institute of Mathematics,  2011. 143-166.

Karlovich, Alexei Yu. "Maximal operators on variable Lebesgue spaces with weights related to oscillations of Carleson curves." Mathematische Nachrichten. 283 (2010): 85-93.

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." Integral Equations and Operator Theory. 67.4 (2010): 559-600.

Karlovich, Alexei Yu. "Singular integral operators on variable Lebesgue spaces over arbitrary Carleson curves." Topics in Operator Theory: Operators, Matrices and Analytic Functions, Vol. 1. Operator Theory: Advances and Applications, 202. Eds. JA Ball, V. Bolotnikov, JW Helton, L. Rodman, and IM Spitkovsky. Basel: Birkhäuser,  2010. 321-336.

Karlovich, Alexei Yu. "Singular integral operators on variable Lebesgue spaces with radial oscillating weights." Operator Algebras, Operator Theory and Applications.Operator Theory Advances and Applications, 195 . Eds. JJ Grobler, LE Labuschagne, and M. Möller. Basel: Birkhäuser,  2010. 185-212.

Karlovich, Alexei Yu., and Ilya M. Spitkovsky. "Connectedness of spectra of Toeplitz operators on Hardy spaces with Muckenhoupt weights over Carleson curves." Integral Equations and Operator Theory. 65.1 (2009): 83-114.

Karlovich, Alexei Yu. "Asymptotics of Toeplitz matrices with symbols in some generalized Krein algebras." Modern Analysis and Applications: Mark Krein Centenary Conference, Vol. 1. Operator Theory Advances and Applications, 190. Eds. V. Adamyan, Y. Berezansky, I. Gohberg, M. Gorbachuk, V. Gorbachuk, A. Kochubei, H. Langer, and G. Popov. Basel: Birkhäuser,  2009. 341-359.

Karlovich, Alexei Yu. "Remark on the boundedness of the Cauchy singular integral operator on variable Lebesgue spaces with radial oscillating weights." Journal of Function Spaces and Applications. 7 (2009): 301-311.

Karlovich, Alexei Yu. "Higher order asymptotic formulas for traces of Toeplitz matrices with symbols in Hölder-Zygmund spaces." Recent Advances in Matrix and Operator Theory. Operator Theory: Advances and Applications, 179. Eds. Joseph A. Ball, Yuli Eidelman, William J. Helton, Vadim Olshevsky, and James Rovnyak. Basel: Bikhäuser,  2008. 185-196.

Karlovich, Alexei Yu. "Higher-order asymptotic formulas for Toeplitz matrices with symbols in generalized Hölder spaces." Operator Algebra, Operator Theory and Applications. Operator Theory Advances and Applications, 181. Eds. MA Bastos, I. Gohberg, AB Lebre, and FO Speck. Basel: Birkhäuser,  2008. 207-228.

Karlovich, Alexei Yu., and L. Maligranda. "On the interpolation constant for subadditive operators in Orlicz spaces." Proceedings of the International Symposium on Banach and Function Spaces II (ISBFS 2006), Kyushu Institute of Technology, Kitakyushu, Japan, 14-17 September 2006. Eds. M. Kato, and L. Maligranda. Yokohama: Yokohama Publishers,  2008. 85-101.

Karlovich, Alexei Yu. "Algebras of singular integral operators with piecewise continuous coefficients on weighted Nakano spaces." The Extended Field of Operator Theory. Operator Theory: Advances and Applications, 171. Ed. Michael A. Dritschel. Basel: Birkhäuser,  2007. 171-188.

Karlovich, Alexei Yu. "Asymptotics of block Toeplitz determinants generated by factorable matrix functions with equal partial indices." Mathematische Nachrichten. 280 (2007): 1118-1127.

Karlovich, Alexei Yu. "Asymptotics of determinants and traces of Toeplitz matrices with symbols in weighted Wiener algebras." Zeitschrift für Analysis und ihre Anwendungen. 26.1 (2007): 43-56.

Karlovich, Alexei Yu. "Asymptotics of Toeplitz determinants generated by functions with Fourier coefficients in weighted Orlicz sequence classes." Function Spaces. Contemporary Mathematics, 435. Ed. K. Jarosz. Providence, RI: American Mathematical Society,  2007. 229-243.

Böttcher, Albrecht, Alexei Yu. Karlovich, and Bernd Silbermann. "Generalized Krein algebras and asymptotics of Toeplitz determinants." Methods of Functional Analysis and Topology. 13.2 (2007): 236-261.

Karlovich, Alexei Yu. "Semi-Fredholm singular integral operators with piecewise continuous coefficients on weighted variable Lebesgue spaces are Fredholm." Operators and Matrices. 1.3 (2007): 427-444.

Karlovich, AY. "Higher order asymptotics of Toeplitz determinants with symbols in weighted Wiener algebras." Journal of Mathematical Analysis and Applications. 320.2 (2006): 944-963.

Karlovich, Alexei Yu. "Algebras of singular integral operators on Nakano spaces with Khvedelidze weights over Carleson curves with logarithmic whirl points." Izvestiya Vysshih Uchebnyh Zavedeniy. Severo-Kavkazskiy Region. Estestvennye Nauki. Special Issue "Pseudodifferential equations and some problems of mathematical physics". Rostov-on-Don: Rostov University Press,  2005. 135-142.

Karlovich, Alexei Yu., and Andrei K. Lerner. "Commutators of singular integrals on generalized Lp spaces with variable exponent." Publicacions Matematiques. 49.1 (2005): 111-125.

Karlovich, Alexei Yu., and Pedro A. Santos. "On asymptoties of Toeplitz determinants with symbols of nonstandard smoothness." Journal of Fourier Aanalysis and Applications. 11.1 (2005): 43-72.

Karlovich, Alexei Yu. "Norms of Toeplitz and Hankel operators on Hardy type subspaces of rearrangement-invariant spaces." Integral Equations and Operator Theory. 49 (2004): 43-64.

Karlovich, Alexei Yu. "Singular integral operators with flip and unbounded coefficients on rearrangement-invariant spaces." 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. Eds. V. Kadets, and W. Zelazko. Amsterdam: Elsevier,  2004. 123-131.

Karlovich, Alexei Yu. "Some algebras of functions with Fourier coefficients in weighted Orlicz sequence spaces." Operator Theoretical Methods and Applications to Mathematical Physics. The Erhard Meister Memorial Volume. Operator Theory: Advances and Applications, 147. Eds. Israel Gohberg, Wolfgang Wendland, António Ferreira dos Santos, Frank-Ollme Speck, and Francisco Sepúlveda Teixeira. Basel: Birkhäuser,  2004. 287-296.

Karlovich, Alexei Yu., and Yuri I. Karlovich. "Compactness of commutators arising in the Fredholm theory of singular integral operators with shifts." Factorization, Singular Operators and Related Problems. Eds. Stefan Samko, Amarino Lebre, and António Ferreira dos Santos. Dordrecht: Kluwer Academic Publishers,  2003. 111-129.

Karlovich, Alexei Yu. "Fredholmness of singular integral operators with piecewise continuous coefficients on weighted Banach function spaces." Journal of Integral Equations and Applications. 15.3 (2003): 263-320.

Karlovich, Alexei Yu., Yuri I. Karlovich, and Amarino B. Lebre. "Invertibility of functional operators with slowly oscillating non-Carleman shifts." Singular Integral Operators, Factorization and Applications. Operator Theory: Advances and Applications, 142. Eds. Albrecht Böttcher, Marinus A. Kaashoek, Amarino Brites Lebre, António Ferreira dos Santos, and Frank-Olme Speck. Basel: Birkhäuser,  2003. 147-174.

Karlovich, Alexei Yu. "Algebras of singular integral operators with PC coefficients in rearrangement-invariant spaces with Muckenhoupt weights." Journal of Operator Theory. 47 (2002): 303-323.

Karlovich, Alexei Yu., and Yuri I. Karlovich. "One-sided invertibility of binomial functional operators with a shift on rearrangement-invariant spaces." Integral Equations and Operator Theory. 42 (2002): 201-228.

Karlovich, Alexei Yu. "Algebras of singular integral operators on rearrangement-invariant spaces and Nikolski ideals." The New York Journal of Mathematics. 8 (2002): 215-234.

Karlovich, Alexei Yu., and Yuri I. Karlovich. "Invertibility in Banach algebras of functional operators with non-Carleman shifts." Ukrains'kyj matematychnyj kongres -- 2001. Pratsi. Sektsiya 11. Funktsional'nyj analiz. Kyiv: Instytut Matematyky NAN Ukrainy,  2002. 107-124.

Karlovich, Alexei Yu. "Criteria for one-sided invertibility of a functional operator in rearrangement-invariant spaces of fundamental type." Mathematische Nachrichten. 229 (2001): 91-118.

Karlovich, Alexei Yu., and Lech Maligranda. "On the interpolation constant for Orlicz spaces." Proceedings of the American Mathematical Society. 129 (2001): 2727-2739.

Karlovich, Alexei Yu. "On the essential norm of the Cauchy singular integral operator in weighted rearrangement-invariant spaces." Integral Equations and Operator Theory. 38 (2000): 28-50.

Karlovich, Alexei Yu. "The index of singular integral operators in reflexive Orlicz spaces." Mathematical Notes. 64.3 (1998): 330-341.

Karlovich, Alexei Yu. "Singular integral operators with piecewise continuous coefficients in reflexive rearrangement-invariant spaces." Integral Equations and Operator Theory. 32 (1998): 436-481.

Karlovich, Alexei Yu. "Singular integral operators with regulated coefficients in reflexive Orlicz spaces." Siberian Mathematical Journal. 38.2 (1997): 253-266.

Karlovich, Alexei Yu. "Singular integral operators with piecewise continuous coefficients on reflexive Orlicz spaces." Doklady Akademii Nauk. 349 (1996): 10-12.

Karlovich, Alexei Yu. "Algebras of singular integral operators with piecewise continuous coefficients on reflexive Orlicz spaces." Mathematische Nachrichten. 179 (1996): 187-222.

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