The capacity associated to signed Riesz Kernels, and Wolff potentials

Laura Prat; Joan Verdera; Juan Eugenio Mateu Bennassar

The capacity associated to signed Riesz Kernels, and Wolff potentials

Laura Prat, Joan Verdera, Juan Eugenio Mateu Bennassar

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

22 Citations (Scopus)

Abstract

We show that, for 0 < α < 1, the capacity associated to the signed vector valued Riesz kernel x/|x| 1+α in ℝ n is comparable to the Riesz capacity C 2/3(n-α),3/2 of non-linear potential theory. © Walter de Gruyter Berlin · New York 2005.

Original language	English
Pages (from-to)	201-223
Journal	Journal fur die Reine und Angewandte Mathematik
Issue number	578
Publication status	Published - 1 Jan 2005

Cite this

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title = "The capacity associated to signed Riesz Kernels, and Wolff potentials",

abstract = "We show that, for 0 < α < 1, the capacity associated to the signed vector valued Riesz kernel x/|x| 1+α in ℝ n is comparable to the Riesz capacity C 2/3(n-α),3/2 of non-linear potential theory. {\textcopyright} Walter de Gruyter Berlin · New York 2005.",

author = "Laura Prat and Joan Verdera and {Mateu Bennassar}, {Juan Eugenio}",

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AU - Verdera, Joan

AU - Mateu Bennassar, Juan Eugenio

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Y1 - 2005/1/1

N2 - We show that, for 0 < α < 1, the capacity associated to the signed vector valued Riesz kernel x/|x| 1+α in ℝ n is comparable to the Riesz capacity C 2/3(n-α),3/2 of non-linear potential theory. © Walter de Gruyter Berlin · New York 2005.

AB - We show that, for 0 < α < 1, the capacity associated to the signed vector valued Riesz kernel x/|x| 1+α in ℝ n is comparable to the Riesz capacity C 2/3(n-α),3/2 of non-linear potential theory. © Walter de Gruyter Berlin · New York 2005.

M3 - Article

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SP - 201

EP - 223

JO - Journal fur die Reine und Angewandte Mathematik

JF - Journal fur die Reine und Angewandte Mathematik

IS - 578

ER -

The capacity associated to signed Riesz Kernels, and Wolff potentials

Abstract

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