Abstract
p-Adic analogs of Hausdorff operator are introduced. Sufficient conditions of its boundedness in p-adic Hardy and BMO spaces are given. The Titchmarsh-type theorem about commuting relations between Hausdorff operator, its conjugate and p-adic Fourier transform is established.
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Volosivets, S.S. Multidimensional Hausdorff operator on p-adic field. P-Adic Num Ultrametr Anal Appl 2, 252–259 (2010). https://doi.org/10.1134/S2070046610030076
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DOI: https://doi.org/10.1134/S2070046610030076