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Article Dans Une Revue Discrete and Continuous Dynamical Systems - Series S Année : 2014

Improved interpolation inequalities on the sphere

Résumé

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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Dates et versions

hal-00867909 , version 1 (30-09-2013)
hal-00867909 , version 2 (29-01-2014)

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Jean Dolbeault, Maria J. Esteban, Michal Kowalczyk, Michael Loss. Improved interpolation inequalities on the sphere. Discrete and Continuous Dynamical Systems - Series S, 2014, 7 (4), pp.695-724. ⟨hal-00867909v2⟩
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