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


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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.

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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

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