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Logarithmic Sobolev inequality for diffusion semigroups
Logarithmic Sobolev inequality Poincar´ e inequality Ornstein-Uhlenbeck semigroup
2010/12/8
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 inequalitie...
The Hardy -Littlewood-Sobolev Inequality for Non-Isotropic Riesz Potentials
Hardy -Littlewood-Sobolev Inequality Non-Isotropic Riesz Potentials
2010/3/5
In this study the inequality of Hardy-Littlewood-Sobolev type are established for non-isotropic generalized Riesz potential depending on l -distance. In this paper we establish analogues of the well k...