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Matematicheskie Zametki, 2022, Volume 111, Issue 3, Pages 365–374
DOI: https://doi.org/10.4213/mzm13257 (Mi mzm13257) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Weighted Integrability of Multiple Multiplicative Fourier Transforms

S. S. Volosivetsab, B. I. Golubovab

a Saratov State University
b Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region
Full-text PDF (497 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm13257
Abstract: Sufficient conditions for the weighted integrability of multiple multiplicative Fourier transforms of Bernstein–Szasz type involving integral moduli of continuity and of Zygmund type with an additional boundedness condition for ss fluctuations are given in the paper. The sharpness of Bernstein–Szasz type tests is proved under certain restrictions.
Keywords: multiplicative Fourier transform, weighted integrability, function with bounded ss-fluctuation, Lipschitz classes.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation FSRR-2020-0006
The work of the first author was supported by the Ministry of Science and Higher Education of the Russian Federation as part of the state assignment (project FSRR-2020-0006).
Received: 16.08.2021
Revised: 02.12.2021
English version:
Mathematical Notes, 2022, Volume 111, Issue 3, Pages 364–372
DOI: https://doi.org/10.1134/S000143462203004X
Bibliographic databases:
Document Type: Article
UDC: 517.518
Language: Russian
Citation: S. S. Volosivets, B. I. Golubov, “Weighted Integrability of Multiple Multiplicative Fourier Transforms”, Mat. Zametki, 111:3 (2022), 365–374; Math. Notes, 111:3 (2022), 364–372
Citation in format AMSBIB
\Bibitem{VolGol22}
\by S.~S.~Volosivets, B.~I.~Golubov
\paper Weighted Integrability of Multiple Multiplicative Fourier Transforms
\jour Mat. Zametki
\yr 2022
\vol 111
\issue 3
\pages 365--374
\mathnet{http://mi.mathnet.ru/mzm13257}
\crossref{https://doi.org/10.4213/mzm13257}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4461267}
\transl
\jour Math. Notes
\yr 2022
\vol 111
\issue 3
\pages 364--372
\crossref{https://doi.org/10.1134/S000143462203004X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85128901561}
Linking options:
  • https://www.mathnet.ru/eng/mzm13257
  • https://doi.org/10.4213/mzm13257
  • https://www.mathnet.ru/eng/mzm/v111/i3/p365
    • This publication is cited in the following 1 articles:
    1. S. S. Volosivets, “Generalized Multiple Multiplicative Fourier Transform and Estimates of Integral Moduli of Continuity”, Math. Notes, 115:4 (2024), 528–537  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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