Hardy inequalities and nonlocal capacity
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.
Authors
- Tomasz Grzywny (ORCID: https://orcid.org/0000-0001-9435-4755)
- Julia Lenczewska (ORCID: https://orcid.org/0000-0002-2951-7658)
Institutions
- Wrocław University of Science and Technology (PL)
- AGH University of Krakow (PL)
Publication Details
- Journal
- Proceedings of the American Mathematical Society
- Published
- 2025-08-12
- DOI
- https://doi.org/10.1090/proc/17316
- Citations
- 1
- Primary Topic
- Nonlinear Partial Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 3.73
Funders
- Narodowe Centrum Nauki