Abstract
This paper presents a simple unified approach to several inequalities for Gaussian and diffusion measures. They include hypercontractive inequalities, logarithmic Sobolev inequalities, FKG inequalities, and correlation inequalities.
Keywords
- Heat Kernel
- Sobolev Inequality
- Isoperimetric Inequality
- Gaussian Measure
- Diffusion Measure
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© 2000 Springer-Verlag
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Hu, Y. (2000). A unified approach to several inequalities for gaussian and diffusion measures. In: Azéma, J., Ledoux, M., Émery, M., Yor, M. (eds) Séminaire de Probabilités XXXIV. Lecture Notes in Mathematics, vol 1729. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0103811
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DOI: https://doi.org/10.1007/BFb0103811
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-67314-9
Online ISBN: 978-3-540-46413-6
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