Continuity of capacity of a holomorphic motion
Complex Variables
2020-04-14 v1
Abstract
We study the behavior of various set-functions under holomorphic motions. We show that, under such deformations, logarithmic capacity varies continuously, while analytic capacity may not.
Cite
@article{arxiv.2004.05266,
title = {Continuity of capacity of a holomorphic motion},
author = {Thomas Ransford and Malik Younsi and Wen-hui Ai},
journal= {arXiv preprint arXiv:2004.05266},
year = {2020}
}
Comments
12 pages