Uniformly fat sets-Reference-Cited by-同舟云学术

Uniformly fat sets

Published:1988 Issue:1 Volume:308 Page:177-196
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Lewis John L.

Abstract

In this paper we study closed sets E E which are "locally uniformly fat" with respect to a certain nonlinear Riesz capacity. We show that E E is actually "locally uniformly fat" with respect to a weaker Riesz capacity. Two applications of this result are given. The first application is concerned with proving Sobolev-type inequalities in domains whose complements are uniformly fat. The second application is concerned with the Fekete points of E E .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1988-308-01/S0002-9947-1988-0946438-4/S0002-9947-1988-0946438-4.pdf

Reference19 articles.

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4. The equivalence of two definitions of capacity;Adams, David R.;Proc. Amer. Math. Soc.,1973

5. Thinness and Wiener criteria for non-linear potentials;Adams, David R.;Indiana Univ. Math. J.,1972

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