Abstract / Description of output
We briefly go over Ornstein-Uhlenbeck processes on abstract Wiener spaces. Then, we prove the hypercontractivity of the Ornstein-Uhlenbeck semigroup and show its equivalence to the logarithmic Sobolev inequality. This presentation is mainly based on the monograph by Shigekawa
Original language | English |
---|---|
Type | Lecture note |
Number of pages | 25 |
Publication status | Unpublished - Jan 2015 |