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Sbornik: Mathematics, 2019, Volume 210, Issue 5, Pages 663–692
DOI: https://doi.org/10.1070/SM9058 (Mi sm9058) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Besov classes on finite and infinite dimensional spaces

E. D. Kosov

Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia
English version PDF (557 kB) Citations (12)
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DOI: https://doi.org/10.1070/SM9058
Abstract: We give an equivalent description of Besov spaces in terms of a new modulus of continuity. Then we use a similar approach to introduce Besov classes on an infinite-dimensional space endowed with a Gaussian measure.
Bibliography: 25 titles.
Keywords: Besov space, embedding theorem, Gaussian measure, Ornstein-Uhlenbeck semigroup.
Funding agency Grant number
Russian Science Foundation 17-11-01058
This research was supported by the Russian Science Foundation under grant no. 17-11-01058.
Received: 31.12.2017 and 24.04.2018
Russian version:
Matematicheskii Sbornik, 2019, Volume 210, Number 5, Pages 41–71
DOI: https://doi.org/10.4213/sm9058
Bibliographic databases:
Document Type: Article
UDC: 517.518.2
MSC: Primary 46E35; Secondary 28C20, 46G12
Language: English
Original paper language: Russian
Citation: E. D. Kosov, “Besov classes on finite and infinite dimensional spaces”, Mat. Sb., 210:5 (2019), 41–71; Sb. Math., 210:5 (2019), 663–692
Citation in format AMSBIB
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Russian version PDF:87
    English version PDF:21
    References:64
    First page:31
     
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