Riesz transforms of a general Ornstein-Uhlenbeck semigroup
Artikel i vetenskaplig tidskrift, 2021

We consider Riesz transforms of any order associated to an Ornstein-Uhlenbeck operator with covariance given by a real, symmetric and positive definite matrix, and with drift given by a real matrix whose eigenvalues have negative real parts. In this general Gaussian context, we prove that a Riesz transform is of weak type (1,1) with respect to the invariant measure if and only if its order is at most 2.

Gaussian measure

Ornstein--Uhlenbeck semigroup

Mehler kernel

weak type $(1

Riesz transforms

1)

Författare

Valentina Casarino

Università di Padova

Paolo Ciatti

Università di Padova

Peter Sjögren

Chalmers, Matematiska vetenskaper

Calculus of Variations and Partial Differential Equations

0944-2669 (ISSN) 1432-0835 (eISSN)

Fundament

Grundläggande vetenskaper

Ämneskategorier

Matematisk analys

Mer information

Skapat

2021-05-02