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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 $s$ 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 $s$-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
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\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}
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    • This publication is cited in the following 1 articles:
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