Oleksiy Karlovych

Associate Professor, Department of Mathematics

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Fourier convolution operators with symbols equivalent to zero at infinity on Banach function spaces

Citation:
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.
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Recent Publications

  • Fredholm discrete Wiener-Hopf operators on reflexive rearrangement-invariant Banach sequence spaces are one-sided invertible
  • Minimality of the Riesz projection among projections onto abstract Hardy spaces and related topics
  • Maximal noncompactness of Wiener-Hopf operators
  • Gohberg-Krupnik localisation for discrete Wiener-Hopf operators on Orlicz sequence spaces
  • 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
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