Oleksiy Karlovych
Associate Professor, Department of Mathematics
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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
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.
"
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 Alina Shalukhina.
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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
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.pdf
Website
Karlovych, Oleksiy, and Eugene Shargorodsky.
"
On the interpolation constants for variable Lebesgue spaces
."
Mathematische Nachrichten
. 296 (2023): 2877-2902.
Website
К
Карлович, Алексей
Об алгебре сингулярных интегральных операторов в рефлексивных пространствах Орлича на кривых Карлесона
. Краевые задачи, специальные функции и дробное исчисление. Минск: Издательство Университетское, 1996.
02_1996_gahov-90_minsk-96.pdf
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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?
more