Improved interpolation inequalities on the sphere
Loss, Michael; Kowalczyk, Michal; Esteban, Maria J.; Dolbeault, Jean (2014), Improved interpolation inequalities on the sphere, Discrete and Continuous Dynamical Systems. Series S, 7, 4, p. 695-724. http://dx.doi.org/10.3934/dcdss.2014.7.695
Type
Article accepté pour publication ou publiéExternal document link
http://hal.archives-ouvertes.fr/hal-00867909Date
2014Journal name
Discrete and Continuous Dynamical Systems. Series SVolume
7Number
4Publisher
AIMS
Pages
695-724
Publication identifier
Metadata
Show full item recordAbstract (EN)
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.Subjects / Keywords
spectral decomposition; hypercontractivity; heat equation; logarithmic Sobolev inequality; Gagliardo-Nirenberg inequalities; interpolation; Sobolev inequalityRelated items
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