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Maximal characterizations of Herz type Hardy spaces on homogeneous groups

โœ Scribed by Yinsheng Jiang; Lin Tang


Publisher
Springer
Year
2005
Tongue
English
Weight
365 KB
Volume
21
Category
Article
ISSN
1573-8175

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## Abstract Let (๐’ณ, __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^(๐’ณ), the authors establish a Lusinโ€area characterization for the atomic

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## 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__ โ‰ค 1, on homogeneous groups can be identified with Morreyโ€“Campanato spaces. This closes a gap in the original p