Embeddings of Weighted Spaces of Functions of Positive Smoothness on Irregular Domains in Lebesgue Space


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Abstract

An embedding theorem of weighted spaces of functions of positive smoothness defined on irregular domains of n-dimensional Euclidean space in weighted Lebesgue spaces is established. The theorem is formulated depending on geometric parameters of the domain 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, Moscow, 119991

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