Oleksiy Karlovych
Associate Professor, Department of Mathematics
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Fernandes, Cláudio A., Alexei Yu. Karlovich, and Yuri. I. Karlovich.
"
Algebra of convolution type operators with continuous data on Banach function spaces
."
Banach Center Publications
. 119 (2019): 157-171.
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
Fernandes, Cláudio A., Alexei Yu. Karlovich, and Márcio Valente.
"
Invertibility of Fourier convolution operators with piecewise continuous symbols on Banach function spaces
."
Transactions of A. Razmadze Mathematical Institute
. 175.1 (2021): 49-61.
Website
Fernandes, Cláudio A., and Alexei Yu. Karlovich.
"
Semi-almost periodic Fourier multipliers on rearrangement-invariant spaces with suitable Muckenhoupt weights
."
Boletín de la Sociedad Matemática Mexicana
. 26.3 (2020): 1135-1162.
Website
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.
Fernandes, Cláudio A., Alexei Yu. Karlovich, and Yuri I. Karlovich.
"
Banach algebras of Fourier multipliers equivalent at infinity to nice Fourier multipliers
."
Banach Journal of Mathematical Analysis
. 15 (2021): 29.
Website
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 A., Alexei Yu. Karlovich, and Yuri I. Karlovich.
"
Noncompactness of Fourier convolution operators on Banach function spaces
."
Annals of Functional Analysis
. 10.4 (2019): 553-561.
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
Fernandes, Cláudio A., Alexei Yu. Karlovich, and Yuri I. Karlovich.
"
Calkin images of Fourier convolution operators with slowly oscillating symbols
."
Operator Theory, Functional Analysis and Applications. Operator Theory: Advances and Applications, vol 282.
Basel: Birkhäuser Basel, 2021. 193-218.
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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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