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

Författare

Peter Sjögren

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

25-

Matematik

Fundament

Grundläggande vetenskaper

2017-10-08