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Contemporary Mathematics. Fundamental Directions, 2007, Volume 25, Pages 21–33
(Mi cmfd103)
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This article is cited in 1 scientific paper (total in 1 paper)
Estimates for $L_p$ Modules of Continuity on Domains with an Irregular Boundary and Embedding Theorems
O. V. Besov Steklov Mathematical Institute, Russian Academy of Sciences
Abstract:
The aim of this paper is to study differentiable functions of several variables defined on a domain $G\subset\mathbb{R}$ with irregular boundary. We suggest a new integral representation, which allow us to establish estimates for $L_p$-modules of continuity and embedding theorems for functional spaces that have defined $L_p$-modules of continuity behavior.
Citation:
O. V. Besov, “Estimates for $L_p$ Modules of Continuity on Domains with an Irregular Boundary and Embedding Theorems”, Theory of functions, CMFD, 25, PFUR, M., 2007, 21–33; Journal of Mathematical Sciences, 155:1 (2008), 18–30
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https://www.mathnet.ru/eng/cmfd103 https://www.mathnet.ru/eng/cmfd/v25/p21
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Abstract page: | 457 | Full-text PDF : | 114 | References: | 84 |
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