Spaces of functions of positive smoothness on irregular domains
- Authors: Besov O.V.1
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Affiliations:
- Steklov Institute of Mathematics
- Issue: Vol 93, No 1 (2016)
- Pages: 13-15
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/223347
- DOI: https://doi.org/10.1134/S1064562416010063
- ID: 223347
Cite item
Abstract
Function spaces with positive smoothness on irregular domains of Euclidean n-space are constructed and studied. Embedding theorems relating these spaces to Sobolev and Lebesgue spaces, whose statements depend on geometric parameters of the domain of the functions, are proved.
About the authors
O. V. Besov
Steklov Institute of Mathematics
Author for correspondence.
Email: besov@mi.ras.ru
Russian Federation, ul. Gubkina 8, Moscow, 119991
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