5 papers · 1 filter
Second Quantization and Evolution Operators in infinite dimension
Davide Addona, Paolo De Fazio
In an infinite dimensional separable Hilbert space , we study compactness properties and the hypercontractivity of the Ornstein-Uhlenbeck evolution operators in the sp…
Characterizations of Sobolev spaces on sublevel sets in abstract Wiener spaces
Davide Addona, Giorgio Menegatti, Michele Miranda
In this paper we consider an abstract Wiener space and an open subset which satisfies suitable assumptions. For every we define the Sobol…
Characterization of BV functions on open domains: the Gaussian case and the general case
Davide Addona, Giorgio Menegatti, Michele Miranda
We provide three different characterizations of the space of the functions of bounded variation with respect to a centred non-degenerate Gaussian measure on open dom…
Analyticity of non-symmetric Ornstein-Uhlenbeck semigroup with respect to a weighted Gaussian measure
Davide Addona
In this paper we show that the realization in of the nonsymmetric Ornstein-Uhlenbeck operator is sectorial for any and we provide an explici…
On integration by parts formula on open convex sets in Wiener spaces
Davide Addona, Giorgio Menegatti, Michele Miranda
In Euclidean space, it is well known that any integration by parts formula for a set of finite perimeter is expressed by the integration with respect to a measure …