Invariance of Green equilibrium measure on the domain
Complex Variables
2011-01-17 v1
Abstract
We prove that the Green equilibrium measure and the Green equilibrium energy of a compact set K relative to the domains D and G are the same if and only if D is nearly equal to G, for a wide class of compact sets K. Also, we prove that equality of Green equilibrium measures arises if and only if the one domain is related with a level set of the Green equilibrium potential of K relative to the other domain.
Keywords
Cite
@article{arxiv.1101.2873,
title = {Invariance of Green equilibrium measure on the domain},
author = {Stamatis Pouliasis},
journal= {arXiv preprint arXiv:1101.2873},
year = {2011}
}
Comments
9 pages