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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2008, Volume 260, Pages 32–43 (Mi tm584)  
This article is cited in 15 scientific papers (total in 15 papers)

Function Spaces of Lizorkin–Triebel Type on an Irregular Domain

O. V. Besov

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (208 kB) Citations (15)
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Abstract: On an irregular domain $G\subset\mathbb R^n$ of a certain type, we introduce function spaces of fractional smoothness $s>0$ that are similar to the Lizorkin–Triebel spaces. We prove embedding theorems that show how these spaces are related to the Sobolev and Lebesgue spaces $W_p^m(G)$ and $L_p(G)$.
Received in November 2007
English version:
Proceedings of the Steklov Institute of Mathematics, 2008, Volume 260, Pages 25–36
DOI: https://doi.org/10.1134/S0081543808010033
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: O. V. Besov, “Function Spaces of Lizorkin–Triebel Type on an Irregular Domain”, Function theory and nonlinear partial differential equations, Collected papers. Dedicated to Stanislav Ivanovich Pohozaev on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 260, MAIK Nauka/Interperiodica, Moscow, 2008, 32–43; Proc. Steklov Inst. Math., 260 (2008), 25–36
Citation in format AMSBIB
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\paper Function Spaces of Lizorkin--Triebel Type on an Irregular Domain
\inbook Function theory and nonlinear partial differential equations
\bookinfo Collected papers. Dedicated to Stanislav Ivanovich Pohozaev on the occasion of his 70th birthday
\serial Trudy Mat. Inst. Steklova
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\vol 260
\pages 32--43
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 15 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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