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Matematicheskie Zametki, 2018, Volume 104, Issue 2, Pages 273–288
DOI: https://doi.org/10.4213/mzm11236 (Mi mzm11236) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Quasiuniversal Fourier–Walsh Series for the Classes $L^p[0,1]$, $p>1$

A. A. Sargsyan

Russian-Armenian (Slavonic) State University, Yerevan
Full-text PDF (547 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm11236
Abstract: It is proved that, for each number $p>1$, there exists a function $L^1[0,1]$ whose Fourier–Walsh series is quasiuniversal with respect to subseries-signs in the class $L^p[0,1]$ in the sense of $L^p$-convergence.
Keywords: universal series, Fourier coefficients, Walsh system, $L^p$-convergence.
Received: 21.03.2016
Revised: 17.08.2017
English version:
Mathematical Notes, 2018, Volume 104, Issue 2, Pages 278–292
DOI: https://doi.org/10.1134/S0001434618070295
Bibliographic databases:
Document Type: Article
UDC: 517.51
Language: Russian
Citation: A. A. Sargsyan, “Quasiuniversal Fourier–Walsh Series for the Classes $L^p[0,1]$, $p>1$”, Mat. Zametki, 104:2 (2018), 273–288; Math. Notes, 104:2 (2018), 278–292
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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