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Russian Mathematical Surveys, 1995, Volume 50, Issue 5, Pages 849–904
DOI: https://doi.org/10.1070/RM1995v050n05ABEH002594
(Mi rm1104)
 

This article is cited in 34 scientific papers (total in 34 papers)

The Khintchine inequalities and martingale expanding sphere of their action

G. Peškir, A. N. Shiryaeva

a Steklov Mathematical Institute, Russian Academy of Sciences
References:
Received: 05.01.1995
Bibliographic databases:
Document Type: Article
UDC: 519.21
MSC: 60G50, 46E30, 60E15
Language: English
Original paper language: Russian
Citation: G. Peškir, A. N. Shiryaev, “The Khintchine inequalities and martingale expanding sphere of their action”, Russian Math. Surveys, 50:5 (1995), 849–904
Citation in format AMSBIB
\Bibitem{PesShi95}
\by G.~Pe{\v s}kir, A.~N.~Shiryaev
\paper The Khintchine inequalities and martingale expanding sphere of their action
\jour Russian Math. Surveys
\yr 1995
\vol 50
\issue 5
\pages 849--904
\mathnet{http://mi.mathnet.ru/eng/rm1104}
\crossref{https://doi.org/10.1070/RM1995v050n05ABEH002594}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1365047}
\zmath{https://zbmath.org/?q=an:0860.60018}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1995RuMaS..50..849P}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995VR49500001}
Linking options:
  • https://www.mathnet.ru/eng/rm1104
  • https://doi.org/10.1070/RM1995v050n05ABEH002594
  • https://www.mathnet.ru/eng/rm/v50/i5/p3
  • This publication is cited in the following 34 articles:
    1. S. V. Astashkin, K. V. Lykov, “On unconditionality of fractional Rademacher chaos in symmetric spaces”, Izv. Math., 88:1 (2024), 1–17  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    2. S. V. Astashkin, “Sequences of independent functions and structure of rearrangement invariant spaces”, Russian Math. Surveys, 79:3 (2024), 375–457  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    3. Grigori Karagulyan, “Probability inequalities for multiplicative sequences of random variables”, Proc. Amer. Math. Soc., 149:9 (2021), 3725  crossref
    4. Jiao Y. Sukochev F. Zanin D., “Sums of Independent and Freely Independent Identically Distributed Random Variables”, Studia Math., 251:3 (2020), 289–315  crossref  isi
    5. Sergey V. Astashkin, The Rademacher System in Function Spaces, 2020, 49  crossref
    6. Sergey V. Astashkin, The Rademacher System in Function Spaces, 2020, 135  crossref
    7. Sergey V. Astashkin, The Rademacher System in Function Spaces, 2020, 1  crossref
    8. William D. Banks, “Zeta functions and asymptotic additive bases with some unusual sets of primes”, Ramanujan J, 45:1 (2018), 57  crossref
    9. Brendan Pass, Susanna Spektor, “On Khintchine type inequalities fork-wise independent Rademacher random variables”, Statistics & Probability Letters, 132 (2018), 35  crossref
    10. Alexander Barg, Arya Mazumdar, “Group Testing Schemes From Codes and Designs”, IEEE Trans. Inform. Theory, 63:11 (2017), 7131  crossref
    11. Susanna Spektor, “Restricted Khinchine Inequality”, Can. math. bull., 59:01 (2016), 204  crossref
    12. S. V. Astashkin, “Martingale Rosenthal inequalities in symmetric spaces”, Sb. Math., 205:12 (2014), 1720–1740  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    13. Robert Qiu, Michael Wicks, Cognitive Networked Sensing and Big Data, 2014, 85  crossref
    14. Götz E. Pfander, Applied and Numerical Harmonic Analysis, Finite Frames, 2013, 193  crossref
    15. Simon Foucart, Holger Rauhut, Applied and Numerical Harmonic Analysis, A Mathematical Introduction to Compressive Sensing, 2013, 201  crossref
    16. S. V. Astashkin, “Rosenthal type inequalities for martingales in symmetric spaces”, Russian Math. (Iz. VUZ), 56:11 (2012), 52–57  mathnet  crossref  mathscinet
    17. Pinelis I., “An Asymptotically Gaussian Bound on the Rademacher Tails”, Electron. J. Probab., 17 (2012), 35, 1–22  crossref  isi
    18. M. M. Skriganov, “Khinchin's inequality and Chen's theorem”, St. Petersburg Math. J., 23:4 (2012), 761–778  mathnet  crossref  mathscinet  zmath  isi  elib  elib
    19. Yong Jiao, Tao Ma, Peide Liu, “Embeddings of Lorentz Spaces of Vector-Valued Martingales”, Funct. Anal. Appl., 44:3 (2010), 237–240  mathnet  crossref  crossref  mathscinet  zmath  isi
    20. S. V. Astashkin, “Vector-valued sums of independent functions in rearrangement invariant spaces”, Siberian Math. J., 51:4 (2010), 584–594  mathnet  crossref  mathscinet  isi  elib  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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