On John domains in Banach spaces
Complex Variables
2013-09-25 v1
Abstract
We study the stability of John domains in Banach spaces under removal of a countable set of points. In particular, we prove that the class of John domains is stable in the sense that removing a certain type of closed countable set from the domain yields a new domain which also is a John domain. We apply this result to prove the stability of the inner uniform domains. Finally, we consider a wider class of domains, so called -John domains and prove a similar result for this class.
Cite
@article{arxiv.1309.6159,
title = {On John domains in Banach spaces},
author = {Y. Li and M. Vuorinen and X. Wang},
journal= {arXiv preprint arXiv:1309.6159},
year = {2013}
}
Comments
22pages