Embedding of Sobolev spaces with limit exponent revisited
- Autores: Besov O.V.1
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Afiliações:
- Steklov Mathematical Institute
- Edição: Volume 94, Nº 3 (2016)
- Páginas: 684-687
- Seção: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/224607
- DOI: https://doi.org/10.1134/S1064562416060260
- ID: 224607
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Resumo
An embedding of the Sobolev spaces Wps (ℝn) in Lizorkin-type spaces of locally integrable functions of smoothness zero is obtained; a similar assertion for Riesz and Bessel potentials is presented. The embedding theorem is extended to Sobolev spaces on irregular domains in n-dimensional Euclidean space. The statement of the theorem depends on geometric parameters of the domain of functions.
Sobre autores
O. Besov
Steklov Mathematical Institute
Autor responsável pela correspondência
Email: besov@mi.ras.ru
Rússia, ul. Gubkina 8, Moscow, 119991
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