A dual characterization of the C^1 harmonic capacity and applications

Details A dual characterization of the C^1 harmonic capacity and applications A dual characterization of the C^1 harmonic capacity and applications

2009-03-20

arxiv.org/abs/0903.3616v2

Mathematics

Analysis of PDEs

This paper has been withdrawn by the author due to a crucial sign error in Proposition 3.2 17 pages

Scientific paper

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.

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