Hardy inequalities and nonlocal capacity
Analysis of PDEs
2024-10-15 v1 Functional Analysis
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.
Cite
@article{arxiv.2410.10001,
title = {Hardy inequalities and nonlocal capacity},
author = {Tomasz Grzywny and Julia Lenczewska},
journal= {arXiv preprint arXiv:2410.10001},
year = {2024}
}
Comments
15 pages