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

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In 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.
29 pages, 5 figures, LATEX file Authors partially supported by the "European Commission" (TMR 1998-2001 Network Harmonic Analysis)

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Classical Analysis and ODEs, Functional Analysis, 48A85, 58G35

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http://salesiana.dossiersoluciones.com/handle/123456789/78076

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9902053
 http://arxiv.org/abs/math/9902053

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arXiv