Function Spaces on Cellular Domains

  • Hans Triebel
Part of the International Mathematical Series book series (IMAT, volume 9)


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.


Sobolev Space Function Space Sequence Space Besov Space Lipschitz Domain 
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© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  1. 1.Mathematisches InstitutFriedrich-Schiller-Universität JenaGermany

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