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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Open access funding provided by Budapest University of Technology and Economics. Supported by the NKFIH-OTKA Grants K128922 and K132097.
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Horváth, Á.P. p-Capacity with Bessel Convolution. Potential Anal 60, 1487–1511 (2024). https://doi.org/10.1007/s11118-023-10097-2
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DOI: https://doi.org/10.1007/s11118-023-10097-2
Keywords
- Nonlinear potential
- Bessel convolution
- Laplace-Bessel equation
- Wolff inequality
- Weighted hausdorff measure