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Article Dans Une Revue Potential Analysis Année : 2014

Intertwining relations for one-dimensional diffusions and application to functional inequalities

Michel Bonnefont

Résumé

Following the recent work [13] fulfilled in the discrete case, we pro- vide in this paper new intertwining relations for semigroups of one-dimensional diffusions. Various applications of these results are investigated, among them the famous variational formula of the spectral gap derived by Chen and Wang [15] together with a new criterion ensuring that the logarithmic Sobolev inequality holds. We complete this work by revisiting some classical examples, for which new estimates on the optimal constants are derived.
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Dates et versions

hal-00812346 , version 1 (12-04-2013)

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Michel Bonnefont, Aldéric Joulin. Intertwining relations for one-dimensional diffusions and application to functional inequalities. Potential Analysis, 2014, 41, ⟨10.1007/s11118-014-9408-7⟩. ⟨hal-00812346⟩
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