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	The Hardy space H-1 on non-homogeneous metric spaces
	Hytonen, Tuomas ; Yang, Dachun ; Yang, Dongyong ; Yang DY(杨东勇)
	2012-07
关键词	NON-DOUBLING MEASURES CALDERON-ZYGMUND OPERATORS THEOREM
英文摘要	Let (X, d, mu) be a metric measure space and satisfy the so-called upper doubling condition and the geometrical doubling condition. We introduce the atomic Hardy space H-1(mu) and prove that its dual space is the known space RBMO(mu) in this context. Using this duality, we establish a criterion for the boundedness of linear operators from H-1(mu) to any Banach space. As an application of this criterion, we obtain the boundedness of Calderon-Zygmund operators from H-1(mu) to L-1(mu).; Academy of Finland [130166, 133264, 218148]; National Natural Science Foundation of China [11171027, 11101339]; Program for Changjiang Scholars and Innovative Research Team at the University of China
语种	英语
出版者	CAMBRIDGE UNIV PRESS
内容类型	期刊论文
源URL	[http://dx.doi.org/10.1017/S0305004111000776]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Hytonen, Tuomas,Yang, Dachun,Yang, Dongyong,et al. The Hardy space H-1 on non-homogeneous metric spaces[J],2012.
APA	Hytonen, Tuomas,Yang, Dachun,Yang, Dongyong,&杨东勇.(2012).The Hardy space H-1 on non-homogeneous metric spaces..
MLA	Hytonen, Tuomas,et al."The Hardy space H-1 on non-homogeneous metric spaces".(2012).

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