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Matematicheskie Zametki, 2018, Volume 104, Issue 6, Pages 823–834
DOI: https://doi.org/10.4213/mzm12050 (Mi mzm12050) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Embeddings of Weighted Spaces of Functions of Positive Smoothness on Irregular Domains in Lebesgue Space

O. V. Besov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Full-text PDF (519 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm12050
Abstract: An embedding theorem of weighted spaces of functions of positive smoothness defined on irregular domains of $n$-dimensional Euclidean space in weighted Lebesgue spaces is established. The theorem is formulated depending on geometric parameters of the domain of functions.
Keywords: embedding theorem, weighted spaces of functions of positive smoothness, irregular domain, Lebesgue spaces.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work was supported by the Russian Science Foundation under grant 14-50-00005.
Received: 10.04.2018
Revised: 29.05.2018
English version:
Mathematical Notes, 2018, Volume 104, Issue 6, Pages 799–809
DOI: https://doi.org/10.1134/S0001434618110251
Bibliographic databases:
Document Type: Article
UDC: 517.518.23
Language: Russian
Citation: O. V. Besov, “Embeddings of Weighted Spaces of Functions of Positive Smoothness on Irregular Domains in Lebesgue Space”, Mat. Zametki, 104:6 (2018), 823–834; Math. Notes, 104:6 (2018), 799–809
Citation in format AMSBIB
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