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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 11, Pages 60–66 (Mi ivm8751)  
This article is cited in 1 scientific paper (total in 1 paper)

Brief communications

Rosenthal type inequalities for martingales in symmetric spaces

S. V. Astashkin

Chair of Functional Analysis and Function Theory, Samara State University, Samara, Russia
Full-text PDF (196 kB) Citations (1)
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Abstract: Inequalities similar to the classical Rosenthal inequalities are proved for sequences of martingale differences in general symmetric spaces. A central role is played by the predictable square variation of a martingale.
Keywords: martingale, martingale differences, Rosenthal inequality, symmetric space, Boyd indices.
Presented by the member of Editorial Board: D. Kh. Mushtari
Received: 21.04.2012
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 11, Pages 52–57
DOI: https://doi.org/10.3103/S1066369X12110059
Bibliographic databases:
Document Type: Article
UDC: 517.5+517.982
Language: Russian
Citation: S. V. Astashkin, “Rosenthal type inequalities for martingales in symmetric spaces”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 11, 60–66; Russian Math. (Iz. VUZ), 56:11 (2012), 52–57
Citation in format AMSBIB
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\by S.~V.~Astashkin
\paper Rosenthal type inequalities for martingales in symmetric spaces
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2012
\issue 11
\pages 60--66
\mathnet{http://mi.mathnet.ru/ivm8751}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3137102}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2012
\vol 56
\issue 11
\pages 52--57
\crossref{https://doi.org/10.3103/S1066369X12110059}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84869401067}
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  • https://www.mathnet.ru/eng/ivm8751
  • https://www.mathnet.ru/eng/ivm/y2012/i11/p60
    • This publication is cited in the following 1 articles:
    1. S. V. Astashkin, “Martingale Rosenthal inequalities in symmetric spaces”, Sb. Math., 205:12 (2014), 1720–1740  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Full-text PDF :89
    References:67
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