arXiv Open Access 2024

Hardy inequalities and nonlocal capacity

Tomasz Grzywny Julia Lenczewska

Lihat Sumber

Abstrak

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.

Topik & Kata Kunci

math.AP math.FA

Penulis (2)

Tomasz Grzywny

Julia Lenczewska

Format Sitasi

APA MLA BibTeX

Grzywny, T., Lenczewska, J. (2024). Hardy inequalities and nonlocal capacity. https://arxiv.org/abs/2410.10001

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓