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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2010, Volume 269, Pages 31–51 (Mi tm2890)  
This article is cited in 9 scientific papers (total in 9 papers)

Spaces of functions of fractional smoothness on an irregular domain

O. V. Besov

Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (264 kB) Citations (9)
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Abstract: On an irregular domain $G\subset\mathbb R^n$ of a certain type, we introduce spaces of functions of fractional smoothness $s>0$. We prove embedding theorems relating these spaces to the Sobolev spaces $W_p^m(G)$ and Lebesgue spaces $L_p(G)$.
Received in October 2009
English version:
Proceedings of the Steklov Institute of Mathematics, 2010, Volume 269, Pages 25–45
DOI: https://doi.org/10.1134/S0081543810020033
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: O. V. Besov, “Spaces of functions of fractional smoothness on an irregular domain”, Function theory and differential equations, Collected papers. Dedicated to Academician Sergei Mikhailovich Nikol'skii on the occasion of his 105th birthday, Trudy Mat. Inst. Steklova, 269, MAIK Nauka/Interperiodica, Moscow, 2010, 31–51; Proc. Steklov Inst. Math., 269 (2010), 25–45
Citation in format AMSBIB
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\paper Spaces of functions of fractional smoothness on an irregular domain
\inbook Function theory and differential equations
\bookinfo Collected papers. Dedicated to Academician Sergei Mikhailovich Nikol'skii on the occasion of his 105th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2010
\vol 269
\pages 31--51
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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