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

Hong-Quan Li

Peter Sjögren

Chalmers, Mathematical Sciences, Mathematics

University of Gothenburg

25-

Subject Categories

Mathematics

Roots

Basic sciences

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Created

10/8/2017