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Matematicheskie Zametki, 2016, Volume 99, Issue 5, Pages 649–657
DOI: https://doi.org/10.4213/mzm10964 (Mi mzm10964) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Approximation of Polynomials in the Haar System in Weighted Symmetric Spaces

S. S. Volosivets

Saratov State University
Full-text PDF (467 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm10964
Abstract: For weighted symmetric (or rearrangement-invariant) spaces with nontrivial Boyd indices and weights from suitable Muckenhoupt classes, the basis property of the Haar system in these spaces and two versions of the direct theorem on the approximation by polynomials in the Haar system are established.
Keywords: approximation by polynomials in the Haar system, weighted symmetric space, basis property of the Haar system, Muckenhoupt class, Hölder's inequality, generalized modulus of continuity, Banach function space.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.1520.2014/K
This work was supported by the Ministry of Education and Science of the Russian Federation (grant no. 1.1520.2014/K).
Received: 06.10.2015
Revised: 12.11.2015
English version:
Mathematical Notes, 2016, Volume 99, Issue 5, Pages 643–651
DOI: https://doi.org/10.1134/S0001434616050035
Bibliographic databases:
Document Type: Article
UDC: 517.518
Language: Russian
Citation: S. S. Volosivets, “Approximation of Polynomials in the Haar System in Weighted Symmetric Spaces”, Mat. Zametki, 99:5 (2016), 649–657; Math. Notes, 99:5 (2016), 643–651
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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