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Izvestiya: Mathematics, 1997, Volume 61, Issue 1, Pages 1–43
DOI: https://doi.org/10.1070/im1997v061n01ABEH000103 (Mi im103) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Exact bounds for the minimum norm of extension operators for Sobolev spaces

V. I. Burenkov, A. L. Gorbunov
English version PDF (451 kB) Citations (6)
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DOI: https://doi.org/10.1070/im1997v061n01ABEH000103
Abstract: This article is concerned with extension operators for the Sobolev spaces $W_p^l(\Omega)$, where $\Omega$ is a domain in $\mathbb R^n$ with boundary in a Lipschitz class. Two-sided bounds are obtained for the minimum norm of an extension operator that are exact with respect to the smoothness parameter $l$.
Received: 12.07.1995
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1997, Volume 61, Issue 1, Pages 3–44
DOI: https://doi.org/10.4213/im103
Bibliographic databases:
MSC: Primary 46E35; Secondary 26D10
Language: English
Original paper language: Russian
Citation: V. I. Burenkov, A. L. Gorbunov, “Exact bounds for the minimum norm of extension operators for Sobolev spaces”, Izv. RAN. Ser. Mat., 61:1 (1997), 3–44; Izv. Math., 61:1 (1997), 1–43
Citation in format AMSBIB
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\by V.~I.~Burenkov, A.~L.~Gorbunov
\paper Exact bounds for the minimum norm of extension operators for Sobolev spaces
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\yr 1997
\vol 61
\issue 1
\pages 3--44
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\transl
\jour Izv. Math.
\yr 1997
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\pages 1--43
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  • https://www.mathnet.ru/eng/im/v61/i1/p3
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:632
    Russian version PDF:292
    English version PDF:24
    References:118
    First page:1
     
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