Wiener-Lebesgue point property for Sobolev Functions on Metric Spaces
Functional Analysis
2024-08-23 v1
Abstract
We establish a Wiener-type integral condition for first-order Sobolev functions defined on a complete, doubling metric measure space supporting a Poincar\'e inequality. It is stronger than the Lebesgue point property, except for a marginal increase in the capacity of the set of non-Lebesgue points.
Keywords
Cite
@article{arxiv.2408.12327,
title = {Wiener-Lebesgue point property for Sobolev Functions on Metric Spaces},
author = {M. Ashraf Bhat and G. Sankara Raju Kosuru},
journal= {arXiv preprint arXiv:2408.12327},
year = {2024}
}