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.
Riesz transforms
Ornstein–Uhlenbeck operator
Maximal operator
Invariant measure
Spectral multipliers
Ornstein–Uhlenbeck semigroup
Author
VALENTINA CASARINO
University of Padua
PAOLO CIATTI
University of Padua
Peter Sjögren
University of Gothenburg
Chalmers, Mathematical Sciences
Trends in Mathematics
22970215 (ISSN) 2297024X (eISSN)
Vol. 4 13-18Subject Categories
Probability Theory and Statistics
Mathematical Analysis
Other Electrical Engineering, Electronic Engineering, Information Engineering
DOI
10.1007/978-3-031-56732-2_2