An elementary proof of the L1 log-Sobolev inequality for Poisson point processes
AbstractIn this note we provide a new proof of the L1 log-Sobolev inequality on the path space of Poisson point processes. Our proof is elementary in the sense that it avoids the use of the martingale representation on Poisson spaces. Moreover, the weak Poincaré inequality for the weighted Dirichlet form is presented.
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Bibliographic InfoArticle provided by Elsevier in its journal Statistics & Probability Letters.
Volume (Year): 81 (2011)
Issue (Month): 9 (September)
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Web page: http://www.elsevier.com/wps/find/journaldescription.cws_home/622892/description#description
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