Art

J-GLOBAL ID：201902223820248199   Reference number：19A0915037

Logarithmic Sobolev Inequality and Exponential Convergence of a Markovian Semigroup in the Zygmund Space

zygundd空間におけるMarkov半群の対数Sobolev不等式と指数関数的収束【JST・京大機械翻訳】

Author (1)： Shigekawa Ichiro (Department of Mathematics, Graduate School of Science, Kyoto University, Kyoto 606-8502, Japan)
Material： Entropy (Web)
Volume： 20  Issue： 4  Page： 220  Publication year： 2018 
JST Material Number： U7179A  ISSN： 1099-4300  Document type： Article
Article type： 原著論文  Country of issue： Switzerland (CHE)  Language： ENGLISH (EN)

Abstract/Point： We investigate the exponential...

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Thesaurus term： *semigroup ,  *inequality ,  spectrum ,  Entropy ,  *exponential function ,  *logarithm ,  convergence rate

Author keywords (6)： Dirichlet form ,  logarithmic Sobolev inequality ,  entropy ,  spectrum ,  Zygmund space ,  Laguerre operator

JST classification (3)： Quantum theory in general  (BA06010C) ,  Thermal power generation  (NB03040D) ,  Numerical computation  (JE02000J)

Reference (8)：

• Bakry, D.; Gentil, I.; Ledoux, M. Analysis and Geometry of Markov Diffusion Operators; Grundlehren der Mathematischen Wissenschaften 348; Springer: Cham, Switzerland, 2014.
• Deuschel, J.-D.; Stroock, D.W. Large Deviations; Academic Press: San Diego, CA, USA, 1989.
• Roberto, C.; Zegarliński, B. Orlicz-Sobolev inequalities for sub-Gaussian measures and ergodicity of Markov semi-groups. J. Funct. Anal. 2007, 243, 28-66.
• Rao, M.M.; Ren, Z.D. Theory of Orlicz Spaces; Monographs and Textbooks in Pure and Applied Mathematics, 146; Marcel Dekker: New York, NY, USA, 1991.
• Engel, K.-J.; Nagel, R. One-Parameter Semigroups for Linear Evolution Equations; Springer: New York, NY, USA, 2000.

Terms in the title (5)： 半群 ,  対数 ,  不等式 ,  指数関数 ,  収束