arXiv Open Access 2025

A note on Sobolev-Lorentz Capacity and Hausdorff measure

Daniel Campbell

Lihat Sumber

Abstrak

In this paper we give an elementary proof that sets of zero $p,1$-Sobolev-Lorentz capacity are $\mathcal{H}^{n-p}$-null sets independently of non-linear potential theory. We further show that there exists a set of Sobolev-Lorentz-$(p,1)$ capacity equal zero with Hausdorff dimension equal $n-p$.

Topik & Kata Kunci

math.AP

Penulis (1)

Daniel Campbell

Format Sitasi

APA MLA BibTeX

Campbell, D. (2025). A note on Sobolev-Lorentz Capacity and Hausdorff measure. https://arxiv.org/abs/2506.22042

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓