16 citations · 65 across the 61 of their papers we have counts for
4 papers · 1 filter
Sharp growth of the Ornstein-Uhlenbeck operator on Gaussian tail spaces
Alexandros Eskenazis, Paata Ivanisvili
Let be a standard Gaussian random variable. For any , we prove the existence of a universal constant such that the inequality $$(\mathbb{E} |h'(X)|…
Hyper contractivity on the unit circle for ultraspherical measures: linear case
Paata Ivanisvili, Alexander Lindenberger, Paul F. X. Müller +1
In this paper we extend complex uniform convexity estimates for to and determine best constants. Furthermore we provide the link to log-Sobolev inequal…
Exponential integrability for log-concave measures
Paata Ivanisvili, Ryan Russell
Talagrand observed that finiteness of implies finiteness of where is the standard Gaussian vector in…
Rademacher type and Enflo type coincide
Paata Ivanisvili, Ramon van Handel, Alexander Volberg
A nonlinear analogue of the Rademacher type of a Banach space was introduced in classical work of Enflo. The key feature of Enflo type is that its definition uses only the metric s…