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 135Fundament
Grundläggande vetenskaper
Ämneskategorier
Matematisk analys
DOI
10.1007/s00526-021-01988-6