Highly Influenced

@inproceedings{Dolbeault2012SharpII, title={Sharp Interpolation Inequalities on the Sphere : New Methods and Consequences}, author={Jean Dolbeault and Maria J. Esteban and Michal Kowalczyk and Michael Loss}, year={2012} }

- Published 2012

This paper is devoted to various considerations on a family of sharp interpolation inequalities on the sphere, which in dimension greater than 1 interpolate between Poincaré, logarithmic Sobolev and critical Sobolev (Onofri in dimension two) inequalities. The connection between optimal constants and spectral properties of the Laplace-Beltrami operator on the sphere is emphasized. The authors address a series of related observations and give proofs based on symmetrization and the ultraspherical… CONTINUE READING

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