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Conference «Contemporary Mathematics and its applications» dedicated to the results of research supported by the Russian Science Foundation grant 14-50-00005
November 19, 2018 11:50–12:10, Direction "Real and complex analysis and its applications", Moscow, Steklov Mathematical Institute of RAS, Conference Hall (8 Gubkina)
 


Spaces of positive smoothness functions on irregular domains

O. V. Besov
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O. V. Besov
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Abstract: Weighted spaces of positive smoothness functions defined on irregular regions (of certain classes) of n-dimensional Euclidean space will be constructed. The smoothness of functions is measured by the behavior of the local deviations of the function from the polynomials in the integral metric. Integral representations of such functions will be constructed and embedding theorems connecting these spaces with Sobolev, Lebesgue spaces and with each other will be given.

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