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


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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.

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R. Bandaliyev

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

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Email: bandaliev.rovshan@math.ab.az
阿塞拜疆, B. Vahabzade 9, Baku, Az1141; Moscow, 117198

S. Volosivets

Faculty of Mechanics and Mathematics

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Email: VolosivetsSS@mail.ru
俄罗斯联邦, Astrakhanskaya Str. 83, Saratov, 410012

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