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On inverses of discrete rough Hilbert transforms

Volume 164 / 2021

Maciej Paluszyński, Jacek Zienkiewicz Colloquium Mathematicum 164 (2021), 305-325 MSC: 42B25, 11P05. DOI: 10.4064/cm7551-2-2020 Published online: 26 October 2020

Abstract

We describe the structure of the resolvent of the discrete rough truncated Hilbert transform under the critical exponent. This extends our results obtained in [Ann. Scuola Norm. Sup. Pisa 19 (2019)].

Authors

  • Maciej PaluszyńskiMathematical Institute
    Wrocław University
    Pl. Grunwaldzki 2/4
    50-384 Wrocław, Poland
    e-mail
  • Jacek ZienkiewiczMathematical Institute
    Wrocław University
    Pl. Grunwaldzki 2/4
    50-384 Wrocław, Poland
    e-mail

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