Oleksiy Karlovych
Associate Professor, Department of Mathematics
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Book
Bastos, Maria Amélia, Luís Castro, and Alexei Yu. Karlovich(eds.)
Operator Theory, Functional Analysis and Applications
. Basel: Birkhäuser, 2021.
Book Chapter
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.
Journal Article
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
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.
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Recent Publications
On pseudodifferential operators with slowly oscillating symbols on variable Lebesgue spaces with Khvedelidze weights
On the full range of Zippin and inclusion indices of rearrangement-invariant spaces
On dilations of Fourier multipliers on weighted Lebesgue spaces
On the algebras of Wiener-Hopf operators with continuous symbols acting on some Banach function spaces
Bounded compact and dual compact approximation properties of Hardy spaces: new results and open problems
When are the norms of the Riesz projection and the backward shift operator equal to one?
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