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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2012, Volume 12, Issue 2, Pages 103–107 (Mi vngu122)  
This article is cited in 1 scientific paper (total in 1 paper)

Diagonal martingale ergodic sequences

I. V. Podvigin

Novosibirsk State University, Novosibirsk, Russia
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Abstract: A proof of convergence almost everywhere for diagonal martingale ergodic sequences which include ergodic averages and Cesaro averages for reversed martingale as special cases is obtained in the article. A condition of mutual commuting for conditional expectations and ergodic averaging is sufficient for this convergence. Maximal and dominant inequalities also are proved for such sequences.
Keywords: martingale ergodic sequence, reversed martingale, ergodic averages, Dunford–Schwartz operator.
Received: 02.10.2010
English version:
Journal of Mathematical Sciences, 2014, Volume 198, Issue 5, Pages 602–607
DOI: https://doi.org/10.1007/s10958-014-1811-5
Document Type: Article
UDC: 517.987+519.214
Language: Russian
Citation: I. V. Podvigin, “Diagonal martingale ergodic sequences”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 12:2 (2012), 103–107; J. Math. Sci., 198:5 (2014), 602–607
Citation in format AMSBIB
\Bibitem{Pod12}
\by I.~V.~Podvigin
\paper Diagonal martingale ergodic sequences
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2012
\vol 12
\issue 2
\pages 103--107
\mathnet{http://mi.mathnet.ru/vngu122}
\transl
\jour J. Math. Sci.
\yr 2014
\vol 198
\issue 5
\pages 602--607
\crossref{https://doi.org/10.1007/s10958-014-1811-5}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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