p-Capacity with Bessel Convolution

被引：0

作者：

Horvath, a. P. ^{[1
,2
]}

机构：

[1] Budapest Univ Technol & Econ, Dept Anal, Inst Math, Muegyet rkp 3, H-1111 Budapest, Hungary

[2] Alfred Reny Inst Math, Dept Anal & Operat Res, Realtanoda St 13-15, H-1053 Budapest, Hungary

来源：

POTENTIAL ANALYSIS | 2024年 / 60卷 / 04期

关键词：

Nonlinear potential; Bessel convolution; Laplace-Bessel equation; Wolff inequality; Weighted hausdorff measure; POTENTIAL SPACES;

D O I：

10.1007/s11118-023-10097-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：1487 / 1511

页数：25

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