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Sbornik: Mathematics, 2013, Volume 204, Issue 7, Pages 937–957
DOI: https://doi.org/10.1070/SM2013v204n07ABEH004325 (Mi sm8159) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Spaces defined by the Paley function

S. V. Astashkina, E. M. Semenovb

a Samara State University
b Voronezh State University, Faculty of Mathematics
English version PDF (561 kB) Citations (8) Russian version article
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DOI: https://doi.org/10.1070/SM2013v204n07ABEH004325
Abstract: The paper is concerned with Haar and Rademacher series in symmetric spaces, and also with the properties of spaces defined by the Paley function. In particular, the symmetric hull of the space of functions with uniformly bounded Paley function is found.
Bibliography: 27 titles.
Keywords: symmetric space, Haar functions, Rademacher functions, Paley function, real interpolation method.
Funding agency Grant number
Russian Foundation for Basic Research 10-01-00077a
12-01-00198a
11-01-00614а
Received: 25.07.2012 and 15.12.2012
Bibliographic databases:
Document Type: Article
UDC: 517.982.22+517.983.23
MSC: 46E30, 46B42, 46A45
Language: English
Original paper language: Russian
Citation: S. V. Astashkin, E. M. Semenov, “Spaces defined by the Paley function”, Sb. Math., 204:7 (2013), 937–957
Citation in format AMSBIB
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\paper Spaces defined by the Paley function
\jour Sb. Math.
\yr 2013
\vol 204
\issue 7
\pages 937--957
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  • https://doi.org/10.1070/SM2013v204n07ABEH004325
  • https://www.mathnet.ru/eng/sm/v204/i7/p3
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник Sbornik: Mathematics
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    Abstract page:1009
    Russian version PDF:227
    English version PDF:55
    References:129
    First page:71
     
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