Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614858 | Journal of Mathematical Analysis and Applications | 2015 | 26 Pages |
Abstract
We find a necessary and sufficient condition for a doubling metric space to carry a (1,p)(1,p)-Poincaré inequality. The condition involves discretizations of the metric space and Poincaré inequalities on graphs.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
James T. Gill, Marcos Lopez,