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Beckner Inequality on Finite-and Infinite-Dimensional Manifolds
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作者 Pingji DENG Fengyu WANG 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2006年第5期581-594,共14页
By using the dimension-free Harnack inequality, the coupling method, and Bakry-Emery's argument, some explicit lower bounds are presented for the constant of the Beckner type inequality on compact manifolds. As appli... By using the dimension-free Harnack inequality, the coupling method, and Bakry-Emery's argument, some explicit lower bounds are presented for the constant of the Beckner type inequality on compact manifolds. As applications, the Beckner inequality and the transportation cost inequality are established for a class of continuous spin systems. In particular, some results in [1, 2] are generalized. 展开更多
关键词 Beckner inequality Continuous spin systems transportation cost inequality
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