2 papers
math.PR2018
On fractional regularity of distributions of functions in Gaussian random variables
Egor Kosov
We study fractional smoothness of measures on , that are images of a Gaussian measure under mappings from Gaussian Sobolev classes. As a consequence we obtain Nikolsk…
math.FA2017
Besov classes on finite- and infinite-dimensional spaces and embedding theorems
Egor D. Kosov
We give a new description of classical Besov spaces in terms of a new modulus of continuity. Then a similar approach is used to introduce Besov classes on an infinite-dimensional s…