Riesz transforms of a general Ornstein-Uhlenbeck semigroup
Journal article, 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



Valentina Casarino

University of Padua

Paolo Ciatti

University of Padua

Peter Sjögren

Chalmers, Mathematical Sciences

Calculus of Variations and Partial Differential Equations

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


Basic sciences

Subject Categories

Mathematical Analysis

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