Hardy inequalities and nonlocal capacity
- 12 August 2025
- journal article
- Published by American Mathematical Society (AMS) in Proceedings of the American Mathematical Society
Abstract
In this article, we introduce and study capacities related to nonlocal Sobolev spaces, with focus on spaces corresponding to zero-order nonlocal operators. In particular, we prove Hardy-type inequalities to obtain Sobolev embeddings and use them to estimate the nonlocal capacities of a ball.Keywords
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Funding Information
- Narodowe Centrum Nauki (2019/33/B/ST1/02494)
- Narodowe Centrum Nauki (2019/33/B/ST1/02494)
- Narodowe Centrum Nauki (2019/33/B/ST1/02494)
- Narodowe Centrum Nauki (2019/33/B/ST1/02494)
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