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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)

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

Denna post skapades 2015-09-29. Senast ändrad 2017-05-09.
CPL Pubid: 223331


Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)



Chalmers infrastruktur