Publications

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2024
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
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 algebras of Wiener-Hopf operators with continuous symbols acting on some Banach function spaces." Analysis Without Borders. Ed. Sergei Rogosin. In Press.
Karlovych, Oleksiy, and Eugene Shargorodsky. "A remark on Toeplitz and Laurent operators acting on l-p spaces with power weights." Linear Algebra and Applications (In Press).Website