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Teoriya Veroyatnostei i ee Primeneniya, 1999, Volume 44, Issue 2, Pages 432–440
DOI: https://doi.org/10.4213/tvp777 (Mi tvp777) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Short Communications

On the integrability of a maximal square function in ergodic theory

V. F. Gaposhkin

Moscow State University of Railway Communications
Full-text PDF (489 kB) Citations (1)
DOI: https://doi.org/10.4213/tvp777
Abstract: Necessary and sufficient conditions are established for $L^2$-summability of the maximal square function of general unitary operators. Extensions of the result to arbitrary contractions in $L^2$, multiparameter unitary groups, and power-bounded operators in $L^p$, $p>1$, are considered as well.
Keywords: unitary operators, contractive operators, homogeneous random fields, power-bounded operators, individual ergodic theorem, maximal square function.
Received: 03.03.1998
English version:
Theory of Probability and its Applications, 2000, Volume 44, Issue 2, Pages 386–394
DOI: https://doi.org/10.1137/S0040585X97977628
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. F. Gaposhkin, “On the integrability of a maximal square function in ergodic theory”, Teor. Veroyatnost. i Primenen., 44:2 (1999), 432–440; Theory Probab. Appl., 44:2 (2000), 386–394
Citation in format AMSBIB
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\by V.~F.~Gaposhkin
\paper On the integrability of a maximal square function in ergodic theory
\jour Teor. Veroyatnost. i Primenen.
\yr 1999
\vol 44
\issue 2
\pages 432--440
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\zmath{https://zbmath.org/?q=an:0976.46016}
\transl
\jour Theory Probab. Appl.
\yr 2000
\vol 44
\issue 2
\pages 386--394
\crossref{https://doi.org/10.1137/S0040585X97977628}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000089405200011}
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  • https://www.mathnet.ru/eng/tvp777
  • https://doi.org/10.4213/tvp777
  • https://www.mathnet.ru/eng/tvp/v44/i2/p432
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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