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Sibirskii Matematicheskii Zhurnal, 2021, Volume 62, Number 1, Pages 42–54
DOI: https://doi.org/10.33048/smzh.2021.62.104 (Mi smj7536) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Ulyanov-type embedding theorems for functions on zero-dimensional locally compact groups

S. S. Volosivets

N. G. Chernyshevsky Saratov State University, Saratov
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DOI: https://doi.org/10.33048/smzh.2021.62.104
Abstract: We establish some analogs of Ulyanov's and Andrienko's Theorems on the embedding of the Hölder spaces of integrable functions on zero-dimensional second countable locally compact groups into the Lebesgue spaces or other Hölder spaces. We prove that these results are unimprovable.
Keywords: embedding theorems, continuity modulus, Lebesgue space $L^p$, Hölder space.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FSRR-2020-0006
The author was supported by the Russian Ministry for Education and Science (Contract FSRR–2020–0006).
Received: 16.06.2020
Revised: 16.06.2020
Accepted: 09.10.2020
English version:
Siberian Mathematical Journal, 2021, Volume 62, Issue 1, Pages 32–43
DOI: https://doi.org/10.1134/S0037446621010043
Bibliographic databases:
Document Type: Article
UDC: 517.518.28
MSC: 35R30
Language: Russian
Citation: S. S. Volosivets, “Ulyanov-type embedding theorems for functions on zero-dimensional locally compact groups”, Sibirsk. Mat. Zh., 62:1 (2021), 42–54; Siberian Math. J., 62:1 (2021), 32–43
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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