Spaces of functions of positive smoothness on irregular domains


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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

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Email: besov@mi.ras.ru
Russian Federation, ul. Gubkina 8, Moscow, 119991

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