Boundedness of Calderon-Zygmund operators on non-homogeneous metric measure spaces: Equivalent characterizations

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	Boundedness of Calderon-Zygmund operators on non-homogeneous metric measure spaces: Equivalent characterizations
	Liu, Suile ; Yang, Dachun ; Yang, Dongyong ; Yang DY(杨东勇)
刊名	http://dx.doi.org/10.1016/j.jmaa.2011.07.055
	2012-02-01
关键词	NON-DOUBLING MEASURES H-1 BMO THEOREM
英文摘要	National Natural Science Foundation of China [10871025]; Changjiang Scholars and Innovative Research Team in University of China; Fundamental Research Funds for the Central Universities of China [2011121040]; Let (X, d, mu) be a metric measure space satisfying the upper doubling and the geometrically doubling conditions in the sense of T. Hytonen. In this paper, the authors prove that the boundedness of a Calderon-Zygmund operator T on L(2)(mu) is equivalent to either of the boundedness of T from the atomic Hardy space H(1)(mu) to L(1,infinity)(mu) or from H(1)(mu) to L(1)(mu). To this end, the authors first establish an interpolation result that a sublinear operator which is bounded from H(1)(mu) to L(1,infinity)(mu) and from L(p0)(mu) to L(p0,infinity)(mu) for some p(0) is an element of (1, infinity) is also bounded on L(p)(mu) for all p is an element of (1, p(0)). A main tool used in this paper is the Calderon-Zygmund decomposition in this setting established by B.T. Anh and X.T. Duong. (C) 2011 Elsevier Inc. All rights reserved.
语种	英语
出版者	J MATH ANAL APPL
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/90967]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Liu, Suile,Yang, Dachun,Yang, Dongyong,et al. Boundedness of Calderon-Zygmund operators on non-homogeneous metric measure spaces: Equivalent characterizations[J]. http://dx.doi.org/10.1016/j.jmaa.2011.07.055,2012.
APA	Liu, Suile,Yang, Dachun,Yang, Dongyong,&杨东勇.(2012).Boundedness of Calderon-Zygmund operators on non-homogeneous metric measure spaces: Equivalent characterizations.http://dx.doi.org/10.1016/j.jmaa.2011.07.055.
MLA	Liu, Suile,et al."Boundedness of Calderon-Zygmund operators on non-homogeneous metric measure spaces: Equivalent characterizations".http://dx.doi.org/10.1016/j.jmaa.2011.07.055 (2012).