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arXiv · 0903.3616

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

Albert Mas·Mark Melnikov·Xavier Tolsa
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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.

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Albert Mas, Mark Melnikov, Xavier Tolsa. 2009-03-20. A dual characterization of the C^1 harmonic capacity and applications. https://doi.org/10.1215/00127094-2010-019

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