Improved interpolation inequalities on the sphere
Analysis of PDEs
2014-01-30 v2
Abstract
This paper contains a review of available methods for establishing improved interpolation inequalities on the sphere for subcritical exponents. Pushing further these techniques we also establish some new results, clarify the range of applicability of the various existing methods and state several explicit estimates.
Cite
@article{arxiv.1309.7931,
title = {Improved interpolation inequalities on the sphere},
author = {Jean Dolbeault and Maria J. Esteban and Michal Kowalczyk and Michael Loss},
journal= {arXiv preprint arXiv:1309.7931},
year = {2014}
}