%0 Journal Article
%T Sobolev capacity on the space
%A Petteri Harjulehto
%A Peter H st
%A Mika Koskenoja
%A Susanna Varonen
%J Journal of Function Spaces and Applications
%D 2003
%I Hindawi Publishing Corporation
%R 10.1155/2003/895261
%X We define Sobolev capacity on the generalized Sobolev space W1, p(⋅)(ℝn). It is a Choquet capacity provided that the variable exponent p:ℝn→[1,∞) is bounded away from 1 and ∞. We discuss the relation between the Hausdorff dimension and the Sobolev capacity. As another application we study quasicontinuous representatives in the space W1, p(⋅)(ℝn).
%U http://www.hindawi.com/journals/jfsa/2003/895261/abs/