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Sbornik: Mathematics, 2014, Volume 205, Issue 12, Pages 1720–1740
DOI: https://doi.org/10.1070/SM2014v205n12ABEH004436 (Mi sm8282) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Martingale Rosenthal inequalities in symmetric spaces

S. V. Astashkin

Samara State University
English version PDF (541 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.1070/SM2014v205n12ABEH004436
Abstract: We establish inequalities similar to the classical Rosenthal inequalities for sequences of martingale differences in general symmetric spaces; a central role is played here by the predictable quadratic characteristic of a martingale.
Bibliography: 26 titles.
Keywords: martingale, martingale differences, Rosenthal's inequality, symmetric space, Boyd index.
Funding agency Grant number
Russian Foundation for Basic Research 10-01-00077a
12-01-00198a
Received: 07.09.2013 and 20.05.2014
Bibliographic databases:
Document Type: Article
UDC: 519.213.21+517.982.22
MSC: Primary 46B09, 46E30, 46B20; Secondary 60B11, 60G42
Language: English
Original paper language: Russian
Citation: S. V. Astashkin, “Martingale Rosenthal inequalities in symmetric spaces”, Sb. Math., 205:12 (2014), 1720–1740
Citation in format AMSBIB
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\by S.~V.~Astashkin
\paper Martingale Rosenthal inequalities in symmetric spaces
\jour Sb. Math.
\yr 2014
\vol 205
\issue 12
\pages 1720--1740
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  • https://www.mathnet.ru/eng/sm8282
  • https://doi.org/10.1070/SM2014v205n12ABEH004436
  • https://www.mathnet.ru/eng/sm/v205/i12/p41
    • This publication is cited in the following 1 articles:
    1. Y. Jiao, X. Quan, L. Wu, “Burkholder's inequalities associated with Orlicz functions in rearrangement invariant spaces”, Math. Z., 289:3-4 (2018), 943–960  crossref  mathscinet  zmath  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:544
    Russian version PDF:232
    English version PDF:26
    References:76
    First page:19
     
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