5 citations · 19 across the 29 of their papers we have counts for
4 papers · 2 filters
A sharp interpolation between the Hölder and Gaussian Young inequalities
Paolo Da Pelo, Alberto Lanconelli, Aurel I. Stan
We prove a very general sharp inequality of the Hölder--Young--type for functions defined on infinite dimensional Gaussian spaces. We begin by considering a family of commutative p…
A unified approach to local limit theorems in Gaussian spaces and the law of small numbers
Alberto Lanconelli
Through a reformulation of the local limit theorem and law of small numbers, which is obtained by working in the spaces naturally associated to the limiting distributions, we disco…
A note on a local limit theorem for Wiener space valued random variables
Alberto Lanconelli, Aurel Iulian Stan
We prove a local limit theorem, i.e. a central limit theorem for densities, for a sequence of independent and identically distributed random variables taking values on an abstract…
On stochastic differential equations driven by the renormalized square of the Gaussian white noise
Bilel Kacem Ben Ammou, Alberto Lanconelli
We investigate the properties of the Wick square of Gaussian white noises through a new method to perform non linear operations on Hida distributions. This method lays in between t…