Evans-Lewis inequalities in dimension three
Classical Analysis and ODEs
2023-05-24 v2 Functional Analysis
Abstract
In proving Rellich inequalities in the framework of equalities, N. Bez, S. Machihara, and T. Ozawa obtained some interesting norm inequalities in the spirit of Evans and Lewis that compare the standard Laplacian with its radial and spherical components. In this paper we give a simple unified proof and a strict improvement of these Evans-Lewis inequalities in the subtle dimension three case. Our approach is robust and explains clearly the occurrence of the sharp constant.
Keywords
Cite
@article{arxiv.2305.06580,
title = {Evans-Lewis inequalities in dimension three},
author = {Yi C. Huang and Li Liu},
journal= {arXiv preprint arXiv:2305.06580},
year = {2023}
}
Comments
added a section which extends our machinery to the abstract framework; added more references