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


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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.

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O. Besov

Steklov Mathematical Institute of Russian Academy of Sciences

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Email: besov@mi.ras.ru
俄罗斯联邦, Moscow, 119991

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