Hausdorff Operator on Weighted Lebesgue and Grand Lebesgue p-Adic Spaces


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Abstract

For Hausdorff operator of general type defined on p-adic linear space \(\mathbb{Q}_p^n\), we give sufficient conditions of its boundedness in weighted Lebesgue and grand Lebesgue spaces. Sharpness of some these conditions is also established.

About the authors

R. A. Bandaliyev

Institute of Mathematics and Mechanics; S.M. Nikolskii Institute of Mathematics at RUDN University

Author for correspondence.
Email: bandaliev.rovshan@math.ab.az
Azerbaijan, B. Vahabzade 9, Baku, Az1141; Moscow, 117198

S. S. Volosivets

Faculty of Mechanics and Mathematics

Author for correspondence.
Email: VolosivetsSS@mail.ru
Russian Federation, Astrakhanskaya Str. 83, Saratov, 410012

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