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Sbornik: Mathematics, 2014, Volume 205, Issue 8, Pages 1133–1159
DOI: https://doi.org/10.1070/SM2014v205n08ABEH004413 (Mi sm8311) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Boundary values of functions in a Sobolev space with Muckenhoupt weight on some non-Lipschitz domains

A. I. Tyulenev

Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region
English version PDF (591 kB) Citations (5)
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DOI: https://doi.org/10.1070/SM2014v205n08ABEH004413
Abstract: This paper gives an explicit description of the traces of functions in a weighted Sobolev space (with local Muckenhoupt weight) on the domain lying between two graphs of Lipschitz functions and on the complement of the closure of this domain.
Bibliography: 11 titles.
Keywords: Muckenhoupt weight, weighted Sobolev space, Besov spaces of variable smoothness, non-Lipschitz domains.
Funding agency Grant number
Russian Foundation for Basic Research 11-01-00744
Received: 27.11.2013 and 17.04.2014
Russian version:
Matematicheskii Sbornik, 2014, Volume 205, Number 8, Pages 67–94
DOI: https://doi.org/10.4213/sm8311
Bibliographic databases:
Document Type: Article
UDC: 517.538
MSC: 46E35
Language: English
Original paper language: Russian
Citation: A. I. Tyulenev, “Boundary values of functions in a Sobolev space with Muckenhoupt weight on some non-Lipschitz domains”, Mat. Sb., 205:8 (2014), 67–94; Sb. Math., 205:8 (2014), 1133–1159
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/sm/v205/i8/p67
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Russian version PDF:92
    English version PDF:17
    References:69
    First page:42
     
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