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Function spaces of Lizorkin-Triebel type on an irregular domain

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Abstract

On an irregular domain G ⊂ ℝn of a certain type, we introduce function spaces of fractional smoothness s > 0 that are similar to the Lizorkin-Triebel spaces. We prove embedding theorems that show how these spaces are related to the Sobolev and Lebesgue spaces W m p (G) and L p (G).

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Authors and Affiliations

  1. Steklov Institute of Mathematics, 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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Published in Russian in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2008, Vol. 260, pp. 32–43.

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Besov, O.V. Function spaces of Lizorkin-Triebel type on an irregular domain. Proc. Steklov Inst. Math. 260, 25–36 (2008). https://doi.org/10.1134/S0081543808010033

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  • DOI: https://doi.org/10.1134/S0081543808010033

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