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Article overview
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Between Sobolev and Poincaré | Rafa{l} Lata{l}a
; Krzysztof Oleszkiewicz
; | Date: |
7 Mar 2000 | Subject: | Probability; Functional Analysis MSC-class: 60E15 (primary) 28A35, 46N30 (secondary) | math.PR math.FA | Affiliation: | Warsaw University), Krzysztof Oleszkiewicz (Warsaw University | Abstract: | We establish a family of functional inequalities interpolating between the classical logarithmic Sobolev and Poincaré inequalities. We prove that they imply the concentration of measure phenomenon intermediate between Gaussian and exponential. Our bounds are close to optimal. | Source: | arXiv, math.PR/0003043 | Services: | Forum | Review | PDF | Favorites |
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