New Examples of harmonic diffeomorphisms of the hyperbolic plane onto itself.
Andrejs Treibergs, Hyeong In Choi (1988)
Manuscripta mathematica
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Andrejs Treibergs, Hyeong In Choi (1988)
Manuscripta mathematica
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Manuscripta mathematica
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Avalishvili, G., Gordeziani, D. (1999)
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We prove that the boundary of a right-angled hyperbolic building is a universal Menger space. As a consequence, the 3-dimensional universal Menger space is the boundary of some Gromov-hyperbolic group.
J. Kisyński (1970)
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Philippe Jaming (1999)
Colloquium Mathematicae
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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