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arXiv · 2303.13437

$p$-capacity with Bessel convolution

Á. P. Horváth
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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-$p$ capacity and B-Lipschitz mapping, and the B-$p$ capacity and weighted Hausdorff measure and the B-$p$ capacity of Cantor sets are examined.

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Á. P. Horváth. 2023-03-23. $p$-capacity with Bessel convolution. https://arxiv.org/abs/2303.13437

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