Work

Hardy inequalities and nonlocal capacity

Year: 2025

Type: article

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.

Source: Proceedings of the American Mathematical Society

DOI: 10.1090/proc/17316

Authors: Tomasz Grzywny, Julia Lenczewska

Institution: Wrocław University of Science and Technology

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Narodowe Centrum Nauki

Award: G1717586522