## Lipschitz Functions on Spaces of Homogeneous Type Results on the geometric structure of spaces of homogeneous type are obtained and applied to show the equivalence of certain classes of Lipschitz functions defined on these spaces. ## I. YOTATION AND DEFINITIONS By a quasi-distance on a set X
β¦ LIBER β¦
Representations of the spaces of Lipschitz functions
β Scribed by Daniel E Wulbert
- Publisher
- Elsevier Science
- Year
- 1974
- Tongue
- English
- Weight
- 482 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0022-1236
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## 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 HardyβSobolev and Lipschitz spaces of these functions. We prove here that these spaces admit FeffermanβStein like characterizations in terms of maxima