Evans-Lewis inequalities in dimension three
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.
Fields of Study & Subjects
Spectral Theory in Mathematical Physics
Nonlinear Partial Differential Equations
Advanced Mathematical Physics Problems
Publication details
- Journal / source
- Proceedings of the Japan Academy Series A Mathematical Sciences
- Volume
- 102
- Issue
- 3
- Pages
- 13–16
- Publication date
- 1 March 2026
- Language
- EN