Harmonic functions on the real hyperbolic ball I: Boundary values and atomic decomposition of Hardy spaces
Jaming, Philippe
Colloquium Mathematicae, Tome 79 (1999), p. 63-82 / Harvested from The Polish Digital Mathematics Library
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We study harmonic functions for the Laplace-eltrami operator on the real hyperbolic space n. 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 n. We then study the Hardy spaces Hp(n), 0

Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:210706 
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Jaming, Philippe. Harmonic functions on the real hyperbolic ball I: Boundary values and atomic decomposition of Hardy spaces. Colloquium Mathematicae, Tome 79 (1999) pp. 63-82. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv80i1p63bwm/

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