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arXiv · 1309.7931

Improved interpolation inequalities on the sphere

Jean Dolbeault·Maria J. Esteban·Michal Kowalczyk·Michael Loss
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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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Jean Dolbeault, Maria J. Esteban, Michal Kowalczyk, Michael Loss. 2014-01-29. Improved interpolation inequalities on the sphere. https://arxiv.org/abs/1309.7931

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