Email this article Spaces of functions of positive smoothness on irregular domains
- Authors: Besov O.V.1
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Affiliations:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Issue: Vol 293, No 1 (2016)
- Pages: 56-66
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/173680
- DOI: https://doi.org/10.1134/S0081543816040040
- ID: 173680
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Abstract
The paper is devoted to constructing and studying spaces of functions of positive smoothness on irregular domains of the n-dimensional Euclidean space. We prove embedding theorems that connect the spaces introduced with the Sobolev and Lebesgue spaces. The formulations of the theorems depend on geometric parameters of the domain of definition of functions.
About the authors
O. V. Besov
Steklov Mathematical Institute of Russian Academy of Sciences
Author for correspondence.
Email: besov@mi.ras.ru
Russian Federation, ul. Gubkina 8, Moscow, 119991
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