$p$-capacity with Bessel convolution
Classical Analysis and ODEs
2023-03-24 v1
Abstract
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- capacity and B-Lipschitz mapping, and the B- capacity and weighted Hausdorff measure and the B- capacity of Cantor sets are examined.
Keywords
Cite
@article{arxiv.2303.13437,
title = {$p$-capacity with Bessel convolution},
author = {Á. P. Horváth},
journal= {arXiv preprint arXiv:2303.13437},
year = {2023}
}