A dual characterization of the C1 harmonic capacity and applications

Abstract

The Lipschitz and C1 harmonic capacities K and Kc in Rn can be considered as high-dimensional versions of the so-called analytic and continuous analytic capacities G and A (respectively). In this paper we provide a dual characterization of Kc in the spirit of the classical one for the capacity A by means of the Garabedian function.

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