arXiv Open Access 2023

On the $(1/2,+)$-caloric capacity of Cantor sets

Joan Hernández

Lihat Sumber

Abstrak

In the present paper we characterize the $(1/2,+)$-caloric capacity (associated with the $1/2$-fractional heat equation) of the usual corner-like Cantor set of $\mathbb{R}^{n+1}$. The results obtained for the latter are analogous to those found for Newtonian capacity. Moreover, we also characterize the BMO and $\text{Lip}_α$ variants ($0<α<1$) of the $1/2$-caloric capacity in terms of the Hausdorff contents $\mathcal{H}^n_\infty$ and $\mathcal{H}^{n+α}_\infty$ respectively.

Topik & Kata Kunci

math.AP math.CA

Penulis (1)

Joan Hernández

Format Sitasi

APA MLA BibTeX

Hernández, J. (2023). On the $(1/2,+)$-caloric capacity of Cantor sets. https://arxiv.org/abs/2307.07590

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓