D. Addona

activity

20172025

most citedOn the domain of elliptic operators defined in subsets of Wiener spaces

8 citations · 10 across the 9 of their papers we have counts for

collaborators

11 papers

math.FA2025

Second Quantization and Evolution Operators in infinite dimension

Davide Addona, Paolo De Fazio

In an infinite dimensional separable Hilbert space $X$ , we study compactness properties and the hypercontractivity of the Ornstein-Uhlenbeck evolution operators $P_{s, t}$ in the sp…

math.PR2025

Weak uniqueness for stochastic partial differential equations in Hilbert spaces

Davide Addona, Davide Augusto Bignamini

Let $U, H$ be two separable Hilbert spaces. The main goal of this paper is to study the weak uniqueness of the Stochastic Differential Equation evolving in $H$ \begin{align*} dX(t)=…

math.PR2024

Pathwise uniqueness in infinite dimension under weak structure conditions

Davide Addona, Davide Augusto Bignamini

Let $U, H$ be two separable Hilbert spaces and $T > 0$ . We consider an SDE which evolves in the Hilbert space $H$ of the form \begin{align} dX(t)=AX(t)dt+\widetilde{\mathscr L}B(X(t))…

math.AP2024

Gradient contractivity of a rescaled resolvent on domains in Wiener spaces

Davide Addona, Giorgio Menegatti, Michele Miranda

Given an abstract Wiener space $(X, γ, H)$ , we consider an open set $O \subseteq X$ which satisfies certain smoothness and mean-curvature conditions. We prove that the rescaled resolv…

math.FA2022

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 $(X, γ, H)$ and an open subset $O \subseteq X$ which satisfies suitable assumptions. For every $p \in (1, + \infty)$ we define the Sobol…

math.FA2021★ 2 cited

Regarding the domain of non-symmetric and, possibly, degenerate Ornstein--Uhlenbeck operators in separable Banach spaces

D. Addona, G. Cappa, S. Ferrari

Let $X$ be a separable Banach space and let $Q : X^{*} \to X$ be a linear, bounded, non-negative and symmetric operator and let $A : D (A) \subseteq X \to X$ be the infinites…

math.AP2020

Equivalence of Sobolev norms with respect to weighted Gaussian measures

Davide Addona

We consider the spaces $L^{p} (X, ν; V)$ , where $X$ is a separable Banach space, $μ$ is a centred non-degenerate Gaussian measure, $ν := K e^{- U} μ$ with normalizing factor $K$ and $V$ is a…

math.FA2019

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 $B V (O, γ)$ of the functions of bounded variation with respect to a centred non-degenerate Gaussian measure $γ$ on open dom…

math.FA2019

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 $L^{p} (X, ν_{\infty})$ of the nonsymmetric Ornstein-Uhlenbeck operator $L$ is sectorial for any $p \in (1, + \infty)$ and we provide an explici…

math.FA2018

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 $Ω$ is expressed by the integration with respect to a measure $P (Ω, \cdot)$ …

math.AP2017★ 8 cited

On the domain of elliptic operators defined in subsets of Wiener spaces

D. Addona, G. Cappa, S. Ferrari

Let $X$ be a separable Banach space endowed with a non-degenerate centered Gaussian measure $μ$ . The associated Cameron-Martin space is denoted by $H$ . Consider two sufficiently re…