Harmonic functions on the real hyperbolic ball II Hardy and Lipschitz spaces

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dc.creatorGrellier, Sandrine
dc.creatorJaming, Philippe
dc.date1999-02-08
dc.date.accessioned2026-07-07T05:27:51Z
dc.date.available2026-07-07T05:27:51Z
dc.descriptionIn this paper, we pursue the study of harmonic functions on the real hyperbolic ball started by the second named author. Our focus here is on the theory of Hardy, Hardy-Sobolev and Lipschitz spaces of these functions. We prove here that these spaces admit Fefferman-Stein like characterizations in terms of maximal and square functionals. We further prove that the hyperbolic harmonic extension of Lipschitz functions on the boundary extend into Lipschitz functions on the whole ball.
dc.description29 pages, 5 figures, LATEX file Authors partially supported by the "European Commission" (TMR 1998-2001 Network Harmonic Analysis)
dc.identifierhttps://arxiv.org/abs/math/9902053
dc.identifierhttp://arxiv.org/abs/math/9902053
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78076
dc.subjectClassical Analysis and ODEs
dc.subjectFunctional Analysis
dc.subject48A85, 58G35
dc.titleHarmonic functions on the real hyperbolic ball II Hardy and Lipschitz spaces
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