Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8899313 | Journal of Mathematical Analysis and Applications | 2018 | 19 Pages |
Abstract
We study â-modulus on general metric spaces and establish its relation to lengths of paths. This connection was already known for modulus on graphs, but the formulation in metric measure spaces requires more attention to exceptional families. We use this to define a metric that we call the essential metric, and show how this recovers a metric that had already been advanced in the literature by De Cecco and Palmieri.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Nathan Albin, Jared Hoppis, Pietro Poggi-Corradini, Nageswari Shanmugalingam,