%0 Journal Article
%T Characterizations of Orlicz-Sobolev Spaces by Means of Generalized Orlicz-Poincar¨¦ Inequalities
%A Toni Heikkinen
%J Journal of Function Spaces and Applications
%D 2012
%I Hindawi Publishing Corporation
%R 10.1155/2012/426067
%X Let Φ be an N-function. We show that a function ¡Ê¦µ(£¿) belongs to the Orlicz-Sobolev space 1,¦µ(£¿) if and only if it satisfies the (generalized) Φ-Poincaré inequality. Under more restrictive assumptions on Φ, an analog of the result holds in a general metric measure space setting.
%U http://www.hindawi.com/journals/jfsa/2012/426067/