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.

1)

weak type $(1

Ornstein--Uhlenbeck semigroup

Mehler kernel

Gaussian measure

Riesz transforms

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)

Vol. 60 4 135

Fundament

Grundläggande vetenskaper

Ämneskategorier

Matematisk analys

DOI

10.1007/s00526-021-01988-6

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Senast uppdaterat

2021-10-14