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Some remarks on weighted logarithmic Sobolev inequality

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  • Additional Information
    • Contributors:
      Institut de Mathématiques de Toulouse UMR5219 (IMT); Université Toulouse Capitole (UT Capitole); Université de Toulouse (UT)-Université de Toulouse (UT)-Institut National des Sciences Appliquées - Toulouse (INSA Toulouse); Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Institut National des Sciences Appliquées (INSA)-Université Toulouse - Jean Jaurès (UT2J); Université de Toulouse (UT)-Université Toulouse III - Paul Sabatier (UT3); Université de Toulouse (UT)-Centre National de la Recherche Scientifique (CNRS); Laboratoire de Mathématiques Blaise Pascal (LMBP); Université Blaise Pascal - Clermont-Ferrand 2 (UBP)-Centre National de la Recherche Scientifique (CNRS); Institute of Applied Mathematics; Chinese Academy of Sciences Beijing (CAS); ANR-08-BLAN-0242,EVOL,Dissipative Evolutions and Convergence to Equilibrium(2008)
    • Publication Information:
      HAL CCSD
      Indiana University Mathematics Journal
    • Publication Date:
      2011
    • Collection:
      Université Toulouse III - Paul Sabatier: HAL-UPS
    • Abstract:
      We give here a simple proof of weighted logarithmic Sobolev inequality, for example for Cauchy type measures, with optimal weight, sharpening results of Bobkov-Ledoux. Some consequences are also discussed.
    • Relation:
      info:eu-repo/semantics/altIdentifier/arxiv/1005.3908; hal-00485124; https://hal.science/hal-00485124; https://hal.science/hal-00485124/document; https://hal.science/hal-00485124/file/cgw-weightedlogsob-submit.pdf; ARXIV: 1005.3908
    • Online Access:
      https://hal.science/hal-00485124
      https://hal.science/hal-00485124/document
      https://hal.science/hal-00485124/file/cgw-weightedlogsob-submit.pdf
    • Rights:
      info:eu-repo/semantics/OpenAccess
    • Accession Number:
      edsbas.8509D2DC