Embedding of Sobolev Spaces into Lipschitz Spaces

Ari Lehtonen
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Ari Lehtonen: University of Jyva̎skyla̎, Department of Mathematics

A chapter in Deformations of Mathematical Structures, 1989, pp 29-32 from Springer

Abstract: Abstract The main result of the paper is that if Ω is a bounded uniform domain in ℝn and p>n, then the Sobolev space Wl, p(Ω) embeds continously into Cα(Ω̅), α = 1 - n/p.

Keywords: Sobolev Space; Quasiconformal Mapping; Extension Domain; Bound Lipschitz Domain; Uniform Domain (search for similar items in EconPapers)
Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-2643-1_2

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DOI: 10.1007/978-94-009-2643-1_2

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