# Weak type (1, 1) for some operators related to the Laplacian with drift on real hyperbolic spaces Report, 2015

The setting of this work is the $n$-dimensional hyperbolic space $\R^+ \times \R^{n-1}$, where the Laplacian is given a drift in the $\R^+$ direction. We consider the operators given by the horizontal Littlewood-Paley-Stein functions for the heat semigroup and the Poisson semigroup, and also the Riesz transforms of order 1 and 2. These operators are known to be bounded on \$L^p,\; 1

## Author

#### Peter Sjögren

Chalmers, Mathematical Sciences, Mathematics

University of Gothenburg

25-

Mathematics

Basic sciences