Sbornik: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
References:
PDF
HTML
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
\Bibitem{Ast14}
\by S.~V.~Astashkin
\paper Martingale Rosenthal inequalities in symmetric spaces
\jour Sb. Math.
\yr 2014
\vol 205
\issue 12
\pages 1720--1740
\mathnet{http://mi.mathnet.ru/eng/sm8282}
\crossref{https://doi.org/10.1070/SM2014v205n12ABEH004436}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3309389}
\zmath{https://zbmath.org/?q=an:06417745}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2014SbMat.205.1720A}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000349436300003}
\elib{https://elibrary.ru/item.asp?id=22834499}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84923171887}
Linking options:
  • 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:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025