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Spaces of functions of positive smoothness on irregular domains

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Abstract

The paper is devoted to constructing and studying spaces of functions of positive smoothness on irregular domains of the n-dimensional Euclidean space. We prove embedding theorems that connect the spaces introduced with the Sobolev and Lebesgue spaces. The formulations of the theorems depend on geometric parameters of the domain of definition of functions.

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References

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Authors and Affiliations

  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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Published in Russian in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2016, Vol. 293, pp. 62–72.

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Besov, O.V. Spaces of functions of positive smoothness on irregular domains. Proc. Steklov Inst. Math. 293, 56–66 (2016). https://doi.org/10.1134/S0081543816040040

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