Some Properties of Thinness and Fine Topology with Relative Capacity
Functional Analysis
2019-02-15 v1 General Topology
Abstract
In this paper, we introduce a thinness in sense to a type of relative capacity for weighted variable exponent Sobolev space. Moreover, we reveal some properties of this thinness and consider the relationship with finely open and finely closed sets. We discuss fine topology and compare this topology with Euclidean one. Finally, we give some information about importance of the fine topology in the potential theory.
Keywords
Cite
@article{arxiv.1902.05305,
title = {Some Properties of Thinness and Fine Topology with Relative Capacity},
author = {Cihan Unal and Ismail Aydin},
journal= {arXiv preprint arXiv:1902.05305},
year = {2019}
}
Comments
13 pages