4.2 Article

Embeddings of Spaces of Functions of Positive Smoothness on a Holder Domain in Lebesgue Spaces

Journal

MATHEMATICAL NOTES
Volume 113, Issue 1-2, Pages 18-26

Publisher

MAIK NAUKA/INTERPERIODICA/SPRINGER
DOI: 10.1134/S0001434623010030

Keywords

embedding; compactness; spaces of functions of positive smoothness; Holder domain; Lebesgue space

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We establish theorems concerning embeddings and compact embeddings of spaces of functions with positive smoothness defined on Holder domains in Lebesgue spaces in n-dimensional Euclidean space.
We establish theorems on embeddings and compact embeddings of spaces of functions of positive smoothness defined on a Holder domain of the n-dimensional Euclidean space in Lebesgue spaces.

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