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Sobolev Spaces in Mathematics II pp 355–385Cite as

Function Spaces on Cellular Domains

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Part of the book series: International Mathematical Series ((IMAT,volume 9))

Abstract

A Lipschitz domain in Rn is called cel lular if it is the finite union of diffeomorphic images of cubes. Bounded C∞ domains and cubes are prototypes. The paper deals with spaces of type B s pq and F s pq (including Sobolev spaces and Besov spaces) on these domains. Special attention is paid to traces on (maybe nonsmooth) boundaries and wavelet bases.

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Author information

Authors and Affiliations

  1. Mathematisches Institut, Friedrich-Schiller-Universität Jena, D-07737 Jena, Germany

    Hans Triebel

Authors
  1. Hans Triebel
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Correspondence to Hans Triebel .

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Editors and Affiliations

  1. Department of Mathematics, Ohio State University, Columbus, USA

    Vladimir Maz'ya

  2. Department of Mathematical Sciences, University of Liverpool, Liverpool, UK

    Vladimir Maz'ya

  3. Department of Mathematics, Linköping University, Linköping, Sweden

    Vladimir Maz'ya

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Triebel, H. (2009). Function Spaces on Cellular Domains. In: Maz'ya, V. (eds) Sobolev Spaces in Mathematics II. International Mathematical Series, vol 9. Springer, New York, NY. https://doi.org/10.1007/978-0-387-85650-6_15

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