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Matematicheskie Zametki, 2021, Volume 109, Issue 6, Pages 912–920
DOI: https://doi.org/10.4213/mzm12865 (Mi mzm12865) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On Multipliers of Fourier Series in the Haar System

N. T. Tleukhanova, A. N. Bashirova

Eurasian National University named after L.N. Gumilyov, Nur-Sultan
Full-text PDF (497 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm12865
Abstract: A complete description of multipliers of Fourier–Haar series in Lorentz spaces is given. Necessary and sufficient conditions for sequences of complex numbers to belong to the class m(Lp,r→Lq,s) of multipliers of Fourier–Haar series are obtained.
Keywords: Fourier series, Haar system, multipliers of Fourier series, net spaces, Lorentz space.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan AP09562216
AP09260223
The work was carried out with the financial support of the Ministry of Education and Science of the Republic of Kazakhstan (grants AP09562216, AP09260223).
Received: 10.08.2020
English version:
Mathematical Notes, 2021, Volume 109, Issue 6, Pages 940–947
DOI: https://doi.org/10.1134/S0001434621050278
Bibliographic databases:
Document Type: Article
UDC: 517.51
Language: Russian
Citation: N. T. Tleukhanova, A. N. Bashirova, “On Multipliers of Fourier Series in the Haar System”, Mat. Zametki, 109:6 (2021), 912–920; Math. Notes, 109:6 (2021), 940–947
Citation in format AMSBIB
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  • https://doi.org/10.4213/mzm12865
  • https://www.mathnet.ru/eng/mzm/v109/i6/p912
    • This publication is cited in the following 2 articles:
    1. N. T. Tleukhanova, L. O. Sarybekova, A. Orynbek, Trends in Mathematics, 5, Women in Analysis and PDE, 2024, 375  crossref
    2. E. S. Smailov, “Some generalized Besov-type space bφpθ([0,1];h) with the Haar basis”, Siberian Math. J., 63:6 (2022), 1140–1152  mathnet  crossref  crossref  mathscinet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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