Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4615331 | Journal of Mathematical Analysis and Applications | 2015 | 26 Pages |
Abstract
We provide an integral energy characterization of HajÅasz-Sobolev spaces M1,p(X,E) with p>1, where X is a metric measure space that satisfies weak Poincaré inequality and E is a Banach space with the Radon-Nikodym property. This result extends previously known results, which were originally established on Rn.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Munnier Vincent,