CPL - Chalmers Publication Library

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

Hong-Quan Li ; Peter Sjögren (Institutionen för matematiska vetenskaper, matematik)
Preprint (serie utgiven vid Institutionen för matematiska vetenskaper i Göteborg) p. 25. (2015)
[Artikel, övrig]

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