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Matematicheskie Zametki, 2019, Volume 106, Issue 4, Pages 491–505
DOI: https://doi.org/10.4213/mzm12198 (Mi mzm12198) 		 
Embeddings of Spaces of Functions of Positive Smoothness on Irregular Domains

O. V. Besov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
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DOI: https://doi.org/10.4213/mzm12198
Abstract: We establish an embedding theorem for spaces of functions of positive smoothness defined on irregular domains of $n$-dimensional Euclidean space in spaces of the same type and obtain some closely related results.
Keywords: embedding theorems, spaces of functions of positive smoothness, irregular domain, Sobolev spaces, Lebesgue spaces.
Received: 24.09.2018
Revised: 07.12.2018
English version:
Mathematical Notes, 2019, Volume 106, Issue 4, Pages 501–513
DOI: https://doi.org/10.1134/S0001434619090207
Bibliographic databases:
Document Type: Article
UDC: 517.518.23
Language: Russian
Citation: O. V. Besov, “Embeddings of Spaces of Functions of Positive Smoothness on Irregular Domains”, Mat. Zametki, 106:4 (2019), 491–505; Math. Notes, 106:4 (2019), 501–513
Citation in format AMSBIB
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