Regularization in L1 for the Ornstein-Uhlenbeck semigroup

Prelegent(ci)

Witold Bednorz

Afiliacja

Uniwersytet Warszawski

Termin

28 maja 2015 12:15

Pokój

p. 3260

Seminarium

Seminarium Zakładu Rachunku Prawdopodobieństwa

---

In this talk I will present a new result of J. Lehec about  regularization property of OU semigroup. Result of this type was first  established by K. Oleszkiewicz et al. but with dimension depending constant.

The idea of R. Eldan  and J. Lee was to apply tools from the stochastic analysis (such as change of measure) in order to remove the dimension dependence. Quite recently J. Lehec significantly improved the proof exposition and we detail the idea in order to encourage further studies in this direction.

---