Isoperimetric inequalities for some integral operators arising in potential theory
Functional Analysis
2017-12-21 v1
Abstract
In this paper we review our previous isoperimetric results for the logarithmic potential and Newton potential operators. The main reason why the results are useful, beyond the intrinsic interest of geometric extremum problems, is that they produce a priori bounds for spectral invariants of operators on arbitrary domains. We demonstrate these in explicit examples.
Keywords
Cite
@article{arxiv.1712.07497,
title = {Isoperimetric inequalities for some integral operators arising in potential theory},
author = {Michael Ruzhansky and Durvudkhan Suragan},
journal= {arXiv preprint arXiv:1712.07497},
year = {2017}
}
Comments
This conference paper gives a review of our previous results in the subject