Abstract
We give a new characterization of the Orlicz–Sobolev space W1,Ψ(Rn) in terms of a pointwise inequality connected to the Young function Ψ. We also study different Poincaré inequalities in the metric measure space.
Citation
Heli Tuominen. "Characterization of Orlicz–Sobolev space." Ark. Mat. 45 (1) 123 - 139, April 2007. https://doi.org/10.1007/s11512-006-0023-8
Information
Received: 19 September 2005; Revised: 21 December 2005; Published: April 2007
First available in Project Euclid: 31 January 2017
zbMATH: 1166.46308
MathSciNet: MR2312957
Digital Object Identifier: 10.1007/s11512-006-0023-8
Rights: 2007 © Institut Mittag-Leffler
