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Integral Representations and Embeddings of Spaces of Functions of Positive Smoothness on a Hölder Domain

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Abstract

We prove embedding theorems for spaces of functions of positive smoothness defined on a Hölder domain of \(n\)-dimensional Euclidean space.

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References

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Funding

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

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  1. Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991, Russia

    O. V. Besov

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

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The author of this work declares that he has no conflicts of interest.

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Translated from Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2023, Vol. 323, pp. 53–64 https://doi.org/10.4213/tm4350.

Translated by K. Besov

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Besov, O.V. Integral Representations and Embeddings of Spaces of Functions of Positive Smoothness on a Hölder Domain. Proc. Steklov Inst. Math. 323, 47–58 (2023). https://doi.org/10.1134/S0081543823050036

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  • DOI: https://doi.org/10.1134/S0081543823050036

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