A dual characterization of the C^1 harmonic capacity and applications
arXiv:0903.3616 · doi:10.1215/00127094-2010-019
Abstract
The Lipschitz and C^1 harmonic capacities K and K_c in R^n 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 K_c in the spirit of the classical one for the capacity A by means of the Garabedian function.
This paper has been withdrawn by the author due to a crucial sign error in Proposition 3.2 17 pages