Some Harmonic Analysis in a General Gaussian Setting
Book chapter, 2024

We collect and discuss some results concerning the weak type (1,1) of maximal functions, Riesz transforms and multiplier operators, recently proved by the authors in a general nonsymmetric Ornstein–Uhlenbeck framework.

Maximal operator

Riesz transforms

Ornstein–Uhlenbeck semigroup

Spectral multipliers

Invariant measure

Ornstein–Uhlenbeck operator

Author

VALENTINA CASARINO

University of Padua

PAOLO CIATTI

University of Padua

Peter Sjögren

Chalmers, Mathematical Sciences

University of Gothenburg

Modern Problems in PDEs and Applications

13-18
978-3-031-56731-5 (ISBN)

Subject Categories (SSIF 2011)

Probability Theory and Statistics

Mathematical Analysis

Other Electrical Engineering, Electronic Engineering, Information Engineering

DOI

10.1007/978-3-031-56732-2_2

More information

Latest update

4/17/2026