Super Poincaré inequalities, Orlicz norms and essential spectrum - Archive ouverte HAL
Article Dans Une Revue Potential Analysis Année : 2010

Super Poincaré inequalities, Orlicz norms and essential spectrum

Résumé

We prove some results about the super Poincaré inequality (SPI) and its relation to the spectrum of an operator: we show that it can be alternatively written with Orlicz norms instead of L1 norms, and we use this to give an alternative proof that a bound on the bottom of the essential spectrum implies a SPI. Finally, we apply these ideas to give a spectral proof of the log Sobolev inequality for the Gaussian measure.
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Dates et versions

hal-00426367 , version 1 (25-10-2009)

Identifiants

Citer

Pierre-André Zitt. Super Poincaré inequalities, Orlicz norms and essential spectrum. Potential Analysis, 2010, Online First, http://www.springerlink.com/content/e762065066852676/. ⟨10.1007/s11118-010-9203-z⟩. ⟨hal-00426367⟩
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