Email this article Embeddings of Spaces of Functions of Positive Smoothness on Irregular Domains in Lebesgue Spaces
- Authors: Besov O.V.1
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Affiliations:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Issue: Vol 103, No 3-4 (2018)
- Pages: 348-356
- Section: Article
- URL: https://journal-vniispk.ru/0001-4346/article/view/150658
- DOI: https://doi.org/10.1134/S0001434618030021
- ID: 150658
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Abstract
An embedding theorem for spaces of functions of positive smoothness defined on irregular domains of n-dimensional Euclidean space in Lebesgue spaces is proved. The statement of the theorem depends on the geometric parameters of the domains of the 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, Moscow
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