Publications

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In Press
Karlovych, Oleksiy, and Eugene Shargorodsky. "On dilations of Fourier multipliers on weighted Lebesgue spaces." Analysis Without Borders. Ed. Sergei Rogosin. In Press.
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. Eds. Albrecht Böttcher, Oleksiy Karlovych, Eugene Shargorodsky, and Ilya Spitkovsky. In Press.
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. Eds. Albrecht Böttcher, Oleksiy Karlovych, Eugene Shargorodsky, and Ilya Spitkovsky. Birkhäuser, In Press.
Karlovych, Oleksiy, and Márcio Valente. "On the algebras of Wiener-Hopf operators with continuous symbols acting on some Banach function spaces." Analysis Without Borders. Ed. Sergei Rogosin. In Press.
2024
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.Website
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.okes12-pafa-2022-12-16.pdfWebsite
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.okas-2023-08-18.pdf
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.Website
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.Website
2023
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.Website
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.Website
Karlovych, Oleksiy, and Eugene Shargorodsky. "On the interpolation constants for variable Lebesgue spaces." Mathematische Nachrichten. 296 (2023): 2877-2902.Website
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.Website
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.Website
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