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Matematicheskie Zametki, 2003, Volume 73, Issue 3, Pages 340–347
DOI: https://doi.org/10.4213/mzm190 (Mi mzm190) 		 
This article is cited in 7 scientific papers (total in 7 papers)

The Hardy–Littlewood Theorem for Fourier–Haar Series

E. D. Nursultanov, T. U. Aubakirov

Kazakhstan Branch of Lomonosov Moscow State University
Full-text PDF (211 kB) Citations (7)
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DOI: https://doi.org/10.4213/mzm190
Abstract: An interpolation theorem for a class of net spaces is proved. In terms of Fourier–Haar coefficients, we obtain a test for a function to belong to the net space $N_p^q (M)$, where 1 and M is the set of all closed intervals in $[0,1]$. As a corollary, we derive an analog of the Hardy–Littlewood theorem for Fourier–Haar series.
Received: 20.05.2001
English version:
Mathematical Notes, 2003, Volume 73, Issue 3, Pages 314–320
DOI: https://doi.org/10.1023/A:1023205725904
Bibliographic databases:
UDC: 517.51
Language: Russian
Citation: E. D. Nursultanov, T. U. Aubakirov, “The Hardy–Littlewood Theorem for Fourier–Haar Series”, Mat. Zametki, 73:3 (2003), 340–347; Math. Notes, 73:3 (2003), 314–320
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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