Improved interpolation inequalities on the sphere

2013/09/30 by Dolbeault, Jean, Esteban, Maria J., Kowalczyk, Michal +1
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1309.7931

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.

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