A dual characterization of the C^1 harmonic capacity and applications
Analysis of PDEs
2019-12-19 v2 Functional Analysis
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.
Keywords
Cite
@article{arxiv.0903.3616,
title = {A dual characterization of the C^1 harmonic capacity and applications},
author = {Albert Mas and Mark Melnikov and Xavier Tolsa},
journal= {arXiv preprint arXiv:0903.3616},
year = {2019}
}
Comments
This paper has been withdrawn by the author due to a crucial sign error in Proposition 3.2 17 pages