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Matematicheskie Zametki, 2013, Volume 93, Issue 3, Pages 357–367
DOI: https://doi.org/10.4213/mzm9049 (Mi mzm9049) 		 
This article is cited in 34 scientific papers (total in 34 papers)

Hausdorff Operators on $p$-Adic Linear Spaces and Their Properties in Hardy, $BMO$, and Hölder Spaces

S. S. Volosivets

Saratov State University named after N. G. Chernyshevsky
Full-text PDF (505 kB) Citations (34)
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DOI: https://doi.org/10.4213/mzm9049
Abstract: Sufficient conditions for the boundedness of $p$-adic matrix operators in Hardy, Hölder and $BMO$ spaces are obtained. These conditions are expressed in terms of the determinant of the matrix and its norm in a $p$-adic linear space.
Keywords: Hausdorff operator, $p$-adic linear space, Hardy space, Hölder space, the space $BMO$, $p$-adic matrix operator, Haar measure.
Received: 17.02.2011
Revised: 24.06.2011
English version:
Mathematical Notes, 2013, Volume 93, Issue 3, Pages 382–391
DOI: https://doi.org/10.1134/S0001434613030048
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. S. Volosivets, “Hausdorff Operators on $p$-Adic Linear Spaces and Their Properties in Hardy, $BMO$, and Hölder Spaces”, Mat. Zametki, 93:3 (2013), 357–367; Math. Notes, 93:3 (2013), 382–391
Citation in format AMSBIB
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    • This publication is cited in the following 34 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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