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Sbornik: Mathematics, 2010, Volume 201, Issue 12, Pages 1777–1790
DOI: https://doi.org/10.1070/SM2010v201n12ABEH004130 (Mi sm7658) 		 
This article is cited in 20 scientific papers (total in 20 papers)

Integral estimates for differentiable functions on irregular domains

O. V. Besov

Steklov Mathematical Institute, Russian Academy of Sciences
English version PDF (511 kB) Citations (20)
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DOI: https://doi.org/10.1070/SM2010v201n12ABEH004130
Abstract: Integral representations for functions and their partial derivatives in terms of some fixed system of partial derivatives are constructed on irregular domains in a Euclidean space. Embedding theorems for Sobolev-type spaces into a Lebesgue space are established and the norms of the derivatives are estimated.
Bibliography: 17 titles.
Keywords: Sobolev spaces, integral representations of functions, embedding theorems.
Received: 25.11.2009 and 22.04.2010
Russian version:
Matematicheskii Sbornik, 2010, Volume 201, Number 12, Pages 69–82
DOI: https://doi.org/10.4213/sm7658
Bibliographic databases:
Document Type: Article
UDC: 517.518.23
MSC: 26B40, 46E35
Language: English
Original paper language: Russian
Citation: O. V. Besov, “Integral estimates for differentiable functions on irregular domains”, Mat. Sb., 201:12 (2010), 69–82; Sb. Math., 201:12 (2010), 1777–1790
Citation in format AMSBIB
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    • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник Sbornik: Mathematics
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    Abstract page:747
    Russian version PDF:248
    English version PDF:18
    References:77
    First page:19
     
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