Publications

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2023
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.Website
2022
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.Website
Karlovich, Alexei, and Eugene Shargorodsky. "A lower estimate for weak-type Fourier multipliers." Complex Variables and Elliptic Equations. 67.3 (2022): 642-660.Website
Karlovich, Alexei, and Eugene Shargorodsky. "On an analogue of a theorem by Astala and Tylli." Archiv der Mathematik. 118 (2022): 73-77.Website
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.Website
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.Website
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.Website
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.
2021
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.Website
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.Website
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.Website
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.Website
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.Website
Karlovich, Alexei Yu. "Noncompactness of Toeplitz operators between abstract Hardy spaces." Advances in Operator Theory. 6 (2021): 29.Website
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.Website
2020
Karlovich, Alexei Yu. "Algebras of continuous Fourier multipliers on variable Lebesgue spaces." Mediterranean Journal of Mathematics. 17.102 (2020): 19 pages.Website
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.Website
2019
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.Website
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.Website
Karlovich, Alexei Yu. "Hardy-Littlewood maximal operator on the associate space of a Banach function space." Real Analysis Exchange. 44.1 (2019): 119-140.Website