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arXiv:2410.10001 [math.AP]AbstractReferencesReviewsResources

Hardy inequalities and nonlocal capacity

Tomasz Grzywny, Julia Lenczewska

Published 2024-10-13Version 1

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.

Comments: 15 pages
Categories: math.AP, math.FA
Subjects: 26D10, 31B15, 46E35
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