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arXiv · 2408.12327

Wiener-Lebesgue point property for Sobolev Functions on Metric Spaces

M. Ashraf Bhat·G. Sankara Raju Kosuru
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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.

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M. Ashraf Bhat, G. Sankara Raju Kosuru. 2024-08-22. Wiener-Lebesgue point property for Sobolev Functions on Metric Spaces. https://arxiv.org/abs/2408.12327

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