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Harmonic Functions, Entropy, and a Characterization of the Hyperbolic Space

โœ Scribed by Xiaodong Wang


Book ID
107627424
Publisher
Springer-Verlag
Year
2007
Tongue
English
Weight
258 KB
Volume
18
Category
Article
ISSN
1050-6926

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Harmonic functions on the real hyperboli
โœ Sandrine Grellier; Philippe Jaming ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 309 KB ๐Ÿ‘ 1 views

## Abstract In this paper, we pursue the study of harmonic functions on the real hyperbolic ball started in [13]. Our focus here is on the theory of Hardyโ€Sobolev and Lipschitz spaces of these functions. We prove here that these spaces admit Feffermanโ€Stein like characterizations in terms of maxima