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

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Abstract

We establish theorems on embeddings and compact embeddings of spaces of functions of positive smoothness defined on a Hölder domain of the \(n\)-dimensional Euclidean space in Lebesgue spaces.

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Funding

This work was supported by a grant of the Russian Science Foundation (grant no. 19-11-00087, https://rscf.ru/en/project/19-11-00087/).

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Authors and Affiliations

  1. Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, 119991, Russia

    O. V. Besov

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  1. O. V. Besov
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Correspondence to O. V. Besov.

Additional information

Translated from Matematicheskie Zametki, 2023, Vol. 113, pp. 21–31 https://doi.org/10.4213/mzm13615.

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Besov, O.V. Embeddings of Spaces of Functions of Positive Smoothness on a Hölder Domain in Lebesgue Spaces. Math Notes 113, 18–26 (2023). https://doi.org/10.1134/S0001434623010030

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  • DOI: https://doi.org/10.1134/S0001434623010030

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