Logarithmic Sobolev inequality for diffusion semigroups
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Publication:3464631
zbMATH Open1338.46047arXiv1009.3421MaRDI QIDQ3464631
Publication date: 27 January 2016
Abstract: Through the main example of the Ornstein-Uhlenbeck semigroup, the Bakry-Emery criterion is presented as a main tool to get functional inequalities as Poincar'e or logarithmic Sobolev inequalities. Moreover an alternative method using the optimal mass transportation, is also given to obtain the logarithmic Sobolev inequality.
Full work available at URL: https://arxiv.org/abs/1009.3421
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Markov semigroups and applications to diffusion processes (47D07) Diffusion processes (60J60)
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