arXiv Open Access 2023

$p$-capacity with Bessel convolution

Á. P. Horváth

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Abstrak

We define and examine nonlinear potential by Bessel convolution with Bessel kernel. We investigate removable sets with respect to Laplace-Bessel inequality. By studying the maximal and fractional maximal measure, a Wolff type inequality is proved. Finally the relation of B-$p$ capacity and B-Lipschitz mapping, and the B-$p$ capacity and weighted Hausdorff measure and the B-$p$ capacity of Cantor sets are examined.

Topik & Kata Kunci

math.CA

Penulis (1)

Á. P. Horváth

Format Sitasi

APA MLA BibTeX

Horváth, Á.P. (2023). $p$-capacity with Bessel convolution. https://arxiv.org/abs/2303.13437

Akses Cepat

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Informasi Jurnal

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