Harmonic functions on the real hyperbolic ball I: Boundary values and atomic decomposition of Hardy spaces
Harmonic functions on the real hyperbolic ball I: Boundary values and atomic decomposition of Hardy spaces
We study harmonic functions for the Laplace-Beltrami operator on the real hyperbolic space Bn.We obtain necessary and sufficient conditions for these functions and their normal derivatives to have a boundary distribution.In doing so, we consider different behaviors of hyperbolic harmonic functions according to the parity of the dimension of the …