This survey gives an account of the state of the art of the theory of Ornstein–Uhlenbeck
operators and semigroups. The domains of definition and the spectra of such operators are …

In this paper we develop a theory of singular integral operators acting on function spaces
over the measured metric space (Rd, ρ, γ), where ρ denotes the Euclidean distance and γ …

Этот обзор посвящен современному состоянию теории операторов и полугрупп
Орнштейна–Уленбека, в том числе сравнительно недавним достижениям и открытым …

The purpose of this paper is twofold. We introduce a general maximal function on the
Gaussian setting which dominates the Ornstein-Uhlenbeck maximal operator and prove its …

In the setting of Euclidean space with the Gaussian measure γ, we consider all first-order
Riesz transforms associated to the infinitesimal generator of the Ornstein–Uhlenbeck …

0 L. Forzani, R. Scotto, and W. Urbina Page 1 0 L. Forzani, R. Scotto, and W. Urbina 1 Page 2
Riesz and Bessel Potentials, the g k functions and an Area Function for the Gaussian Measure …

An atomic Hardy space $ H^ 1 (\gamma) $ associated to the Gauss measure $\gamma $ in
$\mathbb {R}^ n $ has been introduced by the first two authors. We first prove that it is …

In this paper we are going to get the non tangential convergence, in an appropriated
parabolic" gaussian cone", of the Ornstein-Uhlenbeck semigroup in providing two proofs of …

Denote by γ the Gauss measure on ℝ n and by L the Ornstein–Uhlenbeck operator. In this
paper we introduce a Hardy space h^1\rmγ of Goldberg type and show that for each u in ℝ∖ …

In these notes we study the general theory of Markov semigroups estab-lishing their basic
properties and several other results. In particular we will study semigroups associated with …