Oleksiy Karlovych

Associate Professor, Department of Mathematics

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Hardy-Littlewood maximal operator on reflexive variable Lebesgue spaces over spaces of homogeneous type

Citation:
Karlovich, Alexei Yu. "Hardy-Littlewood maximal operator on reflexive variable Lebesgue spaces over spaces of homogeneous type." Studia Mathematica. 254.2 (2020): 149-178.
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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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