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Sbornik: Mathematics, 1999, Volume 190, Issue 10, Pages 1449–1463
DOI: https://doi.org/10.1070/sm1999v190n10ABEH000432 (Mi sm432) 		 
This article is cited in 1 scientific paper (total in 2 paper)

Averaging of Fourier–Haar coefficients

S. Montgomery-Smitha, E. M. Semenovb

a University of Missouri-Columbia
b Voronezh State University
English version PDF (356 kB) Citations (2)
References:
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DOI: https://doi.org/10.1070/sm1999v190n10ABEH000432
Abstract: An operator defined by averaging of the Fourier–Haar coefficients of a function is studied. A criterion for the boundedness of such an operator acting in a pair of rearrangement-invariant spaces is derived.
Received: 17.12.1998
Russian version:
Matematicheskii Sbornik, 1999, Volume 190, Number 10, Pages 49–64
DOI: https://doi.org/10.4213/sm432
Bibliographic databases:
UDC: 517.51
MSC: Primary 46E30; Secondary 24C10, 42A16
Language: English
Original paper language: Russian
Citation: S. Montgomery-Smith, E. M. Semenov, “Averaging of Fourier–Haar coefficients”, Mat. Sb., 190:10 (1999), 49–64; Sb. Math., 190:10 (1999), 1449–1463
Citation in format AMSBIB
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\paper Averaging of Fourier--Haar coefficients
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  • https://doi.org/10.1070/sm1999v190n10ABEH000432
  • https://www.mathnet.ru/eng/sm/v190/i10/p49
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    English version PDF:7
    References:56
    First page:1
     
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