Oleksiy Karlovych

Associate Professor, Department of Mathematics

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Necessary Fredholm conditions for weighted singular integral operators with shifts and slowly oscillating data

Citation:
Karlovich, Alexei Yu., Yuri I. Karlovich, and Amarino B. Lebre. "Necessary Fredholm conditions for weighted singular integral operators with shifts and slowly oscillating data." Journal of Integral Equations and Applications. 29.3 (2017): 365-399.
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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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