New Examples of harmonic diffeomorphisms of the hyperbolic plane onto itself.
Andrejs Treibergs, Hyeong In Choi (1988)
Manuscripta mathematica
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Displaying similar documents to “Universal harmonic functions on the hyperbolic space”
New Examples of harmonic diffeomorphisms of the hyperbolic plane onto itself.
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Harmonic functions on the real hyperbolic ball I: Boundary values and atomic decomposition of Hardy spaces
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We study harmonic functions for the Laplace-eltrami operator on the real hyperbolic space . 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 hyperbolic ball . We then study the Hardy spaces , 0