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Contemporary Mathematics. Fundamental Directions, 2009, Volume 32, Pages 3–161 (Mi cmfd132)  

This article is cited in 29 scientific papers (total in 29 papers)

Rademacher functions in symmetric spaces

S. V. Astashkin

Samara, Samara State University
References:
English version:
Journal of Mathematical Sciences, 2010, Volume 169, Issue 6, Pages 725–886
DOI: https://doi.org/10.1007/s10958-010-0074-z
Bibliographic databases:
UDC: 517.5+517.982
Language: Russian
Citation: S. V. Astashkin, “Rademacher functions in symmetric spaces”, Functional analysis, CMFD, 32, PFUR, M., 2009, 3–161; Journal of Mathematical Sciences, 169:6 (2010), 725–886
Citation in format AMSBIB
\Bibitem{Ast09}
\by S.~V.~Astashkin
\paper Rademacher functions in symmetric spaces
\inbook Functional analysis
\serial CMFD
\yr 2009
\vol 32
\pages 3--161
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd132}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2525624}
\zmath{https://zbmath.org/?q=an:1229.46020}
\elib{https://elibrary.ru/item.asp?id=15316756}
\transl
\jour Journal of Mathematical Sciences
\yr 2010
\vol 169
\issue 6
\pages 725--886
\crossref{https://doi.org/10.1007/s10958-010-0074-z}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77956616396}
Linking options:
  • https://www.mathnet.ru/eng/cmfd132
  • https://www.mathnet.ru/eng/cmfd/v32/p3
  • This publication is cited in the following 29 articles:
    1. Mikhaylo Antipov, Danila Cherkashin, “Lovász theta approach to eventown problem”, Linear Algebra and its Applications, 655 (2022), 302  crossref
    2. XUEFEI WANG, CHUNXIA ZHAO, XIA YUAN, “A REVIEW OF FRACTAL FUNCTIONS AND APPLICATIONS”, Fractals, 30:06 (2022)  crossref
    3. Y. S. LIANG, “APPROXIMATION WITH FRACTAL FUNCTIONS BY FRACTAL DIMENSION”, Fractals, 30:07 (2022)  crossref
    4. Cadilhac L., “Majorization, Interpolation and Noncommutative Khinchin Inequalities”, Studia Math., 258:1 (2021), 1–26  crossref  mathscinet  isi  scopus
    5. Carrillo-Alanis J., “Lacunary Walsh Series in Rearrangement Invariant Spaces”, Indag. Math.-New Ser., 30:6 (2019), 988–1005  crossref  mathscinet  zmath  isi  scopus
    6. Blais E., Canonne C.L., Gur T., “Distribution Testing Lower Bounds Via Reductions From Communication Complexity”, ACM Trans. Comput. Theory, 11:2 (2019), 6  crossref  mathscinet  zmath  isi  scopus
    7. S. V. Astashkin, P. A. Terekhin, “Affine Walsh-type systems of functions in symmetric spaces”, Sb. Math., 209:4 (2018), 469–490  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    8. Carrillo-Alanis J., “Local Rearrangement Invariant Spaces and Distribution of Rademacher Series”, Positivity, 22:1 (2018), 63–81  crossref  mathscinet  zmath  isi  scopus
    9. S. V. Astashkin, “On comparing systems of random variables with the Rademacher sequence”, Izv. Math., 81:6 (2017), 1063–1079  mathnet  crossref  crossref  zmath  adsnasa  isi  elib
    10. Astashkin S., “Rademacher Functions in Weighted Symmetric Spaces”, Isr. J. Math., 218:1 (2017), 371–390  crossref  mathscinet  zmath  isi  scopus
    11. Astashkin S.V., Curbera G.P., Tikhomirov K.E., “on the Existence of Ruc Systems in Rearrangement Invariant Spaces”, Math. Nachr., 289:2-3 (2016), 175–186  crossref  mathscinet  zmath  isi  elib  scopus
    12. S. V. Astashkin, K. V. Lykov, “Sparse Rademacher chaos in symmetric spaces”, St. Petersburg Math. J., 28:1 (2017), 1–20  mathnet  crossref  mathscinet  isi  elib
    13. S. V. Astashkin, E. M. Semenov, “On Fourier Coefficients of Lacunary Systems”, Math. Notes, 100:4 (2016), 507–514  mathnet  crossref  crossref  mathscinet  isi  elib
    14. Ben-Zion A. Rubshtein, Genady Ya. Grabarnik, Mustafa A. Muratov, Yulia S. Pashkova, Developments in Mathematics, 45, Foundations of Symmetric Spaces of Measurable Functions, 2016, 95  crossref
    15. S. V. Astashkin, “Martingale transforms of a Rademacher sequence in symmetric spaces”, St. Petersburg Math. J., 27:2 (2016), 191–206  mathnet  crossref  mathscinet  isi  elib
    16. Astashkin S.V., Maligranda L., “Structure of Rademacher Subspaces in Cesaro Type Spaces”, Studia Math., 226:3 (2015), 259–279  crossref  mathscinet  zmath  isi  elib  scopus
    17. A. I. Novikova, “Fundamental function of Rademacher spaces”, Russian Math. (Iz. VUZ), 58:2 (2014), 31–38  mathnet  crossref
    18. Kolwicz P., Lesnik K., Maligranda L., “Pointwise Products of Some Banach Function Spaces and Factorization”, J. Funct. Anal., 266:2 (2014), 616–659  crossref  mathscinet  zmath  isi  elib  scopus
    19. Astashkin S.V., Sukochev F.A., Wong C.P., “Distributionally Concave Symmetric Spaces and Uniqueness of Symmetric Structure”, Adv. Math., 232:1 (2013), 399–431  crossref  mathscinet  zmath  isi  elib  scopus
    20. S. V. Astashkin, E. M. Semenov, “Spaces defined by the Paley function”, Sb. Math., 204:7 (2013), 937–957  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  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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