Harmonic functions on the real hyperbolic ball I : Boundary values and atomic decomposition of Hardy spaces

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dc.creatorJaming, Philippe
dc.date1999-02-08
dc.date.accessioned2026-07-07T05:27:50Z
dc.date.available2026-07-07T05:27:50Z
dc.descriptionWe study harmonic functions for the Laplace-Beltrami operator on the real hyperbolic ball. We obtain necessary and sufficient conditions for this functions and their normal derivatives to have a boundary distribution.In doing so, we put forward different behaviors of hyperbolic harmonic functions according to the parity of the dimension of the hyperbolic ball. We then study Hardy spaces of hyperbolic harmonic extensions of distributions belonging to the Hardy spaces of the sphere. In particular, we obtain an atomic decomposition of these spaces.
dc.descriptionLATEX + Bibtex file, 16 pages, no figures, to appear in Colloq. Math
dc.identifierhttps://arxiv.org/abs/math/9902052
dc.identifierhttp://arxiv.org/abs/math/9902052
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78075
dc.subjectClassical Analysis and ODEs
dc.subject48A85; 58G35
dc.titleHarmonic functions on the real hyperbolic ball I : Boundary values and atomic decomposition of Hardy spaces
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