Oleksiy Karlovych
Associate Professor, Department of Mathematics
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2024
Curbera, Guillermo P., Oleksiy Karlovych, and Eugene Shargorodsky.
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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
2022
Fernandes, Cláudio A., Alexei Yu. Karlovich, and Yuri I. Karlovich.
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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.
2021
Canarias, Tiago, Alexei Karlovich, and Eugene Shargorodsky.
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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
Bastos, Maria Amélia, Luís Castro, and Alexei Yu. Karlovich(eds.)
Operator Theory, Functional Analysis and Applications
. Basel: Birkhäuser, 2021.
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Recent Publications
Achievements and Challenges in the Field of Convolution Operators. The Yuri Karlovich Anniversary Volume. Operator Theory: Advances and Applications, vol. 306
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
On multiplier analogues of the algebra C+H^\infty on weighted rearrangement-invariant sequence spaces
Fredholmness of pseudodifferential operators on rearrangement-invariant spaces
The essential norms of Toeplitz operators with symbols in $C+H^\infty$ on weighted Hardy spaces are independent of the weights
On the operator and essential norms of Fourier convolution operators and Wiener-Hopf operators with the same symbol
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