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| Beckner Inequality on Finite- and Infinite-Dimensional Manifolds |
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Citation： |
Pingji DENG,Fengyu WANG.Beckner Inequality on Finite- and Infinite-Dimensional Manifolds[J].Chinese Annals of Mathematics B,2006,27(5):581~594 |
| Page view： 1061
Net amount： 655 |
Authors： |
Pingji DENG; Fengyu WANG |
Foundation： |
Project supported by the National Natural Science Foundation of China (No.10121101) and the Research
Fund for the Doctoral Program of Higher Education (No.20040027009). |
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| Abstract： |
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. |
Keywords： |
Beckner inequality, Continuous spin systems, Transportation cost inequality |
Classification： |
47D07, 60H10 |
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