Oleksiy Karlovych

Associate Professor, Department of Mathematics

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Publications

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2023
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
2021
Karlovich, Alexei Yu. "Wavelet bases in Banach function spaces." Bulletin of the Malaysian Mathematical Sciences Society. 44.3 (2021): 1669-1689.Website
2019
Karlovich, Alexei Yu., and Eugene Shargorodsky. "When does the norm of a Fourier multiplier dominate its L-infinfty norm?" Proceedings of the London Mathematical Society. 118 (2019): 901-941.Website

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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