A maximal function characterization of Hardy spaces on spaces of homogeneous type
โ Scribed by Li Wenming
- Publisher
- Springer
- Year
- 1998
- Tongue
- English
- Weight
- 573 KB
- Volume
- 14
- Category
- Article
- ISSN
- 1573-8175
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๐ SIMILAR VOLUMES
## Abstract Let (๐ณ, __d__,__ฮผ__) be a space of homogeneous type in the sense of Coifman and Weiss. Assuming that __ฮผ__ satisfies certain estimates from below and there exists a suitable Calderรณn reproducing formula in __L__ ^2^(๐ณ), the authors establish a Lusinโarea characterization for the atomic
The notion of spaces of a generalized homogeneous type is developed in [2]. In this paper, we introduce the sharp maximal function in this general setting, and establish the equivalence of the L p norms between the sharp maximal function and the Hardy Littlewood maximal function, as well the John Ni
## Abstract Hardy spaces on homogeneous groups were introduced and studied by Folland and Stein [3]. The purpose of this note is to show that duals of Hardy spaces __H__^__p__^ , 0 < __p__ โค 1, on homogeneous groups can be identified with MorreyโCampanato spaces. This closes a gap in the original p