p-capacity with Bessel convolution

2023/03/23 by Á. P. Horváth, Horváth, Á. P. · 1 citation
Computer Science · Mathematics · #Approximation Theory and Sequence Spaces #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Inequalities and Applications #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.2303.13437

openalex publication_date 2023/03/23 · openalex created_date 2023/03/25 · openalex updated_date 2026/07/28

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.

Cited by

• Fractional Bessel-Sobolev and Bessel B-potential spaces

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