Email this article Hausdorff Operator on Weighted Lebesgue and Grand Lebesgue p-Adic Spaces
- Authors: Bandaliyev R.A.1,2, Volosivets S.S.3
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Affiliations:
- Institute of Mathematics and Mechanics
- S.M. Nikolskii Institute of Mathematics at RUDN University
- Faculty of Mechanics and Mathematics
- Issue: Vol 11, No 2 (2019)
- Pages: 114-122
- Section: Research Articles
- URL: https://journals.rcsi.science/2070-0466/article/view/201172
- DOI: https://doi.org/10.1134/S207004661902002X
- ID: 201172
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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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