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

For Hausdorff operator of general type defined on p-adic linear space ℚpn, we give sufficient conditions of its boundedness in weighted Lebesgue and grand Lebesgue spaces. Sharpness of some these conditions is also established. © 2019, Pleiades Publishing, Ltd.

Authors
Bandaliyev R.A. 1, 2 , Volosivets S.S.3
Journal
P-Adic Numbers, Ultrametric Analysis, and Applications
Publisher
Pleiades Publishing
Number of issue
2
Language
English
Pages
114-122
Status
Published
Link
External link
DOI
10.1134/S207004661902002X
Volume
11
Year
2019
Organizations
  • 1 Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, B. Vahabzade 9, Baku, Az1141, Azerbaijan
  • 2 S.M. Nikolskii Institute of Mathematics at RUDN University, Moscow, 117198, Russian Federation
  • 3 Faculty of Mechanics and Mathematics, Saratov State University, Astrakhanskaya Str. 83, Saratov, 410012, Russian Federation
Keywords
Hausdorff operator; p-adic grand Lebesgue space; p-adic weighted Lebesgue space
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