Boundedness of Caldern-Zygmund operators with finite non-doubling measures

CORC > 厦门大学 > 数学科学－已发表论文

	Boundedness of Caldern-Zygmund operators with finite non-doubling measures
	Yang, Dachun ; Yang, Dongyong ; Yang DY(杨东勇)
刊名	http://dx.doi.org/10.1007/s11464-013-0210-4
	2013
关键词	NONHOMOGENEOUS SPACES ANALYTIC CAPACITY HARDY-SPACES SEMIADDITIVITY THEOREM H-1 BMO
英文摘要	National Natural Science Foundation of China [11171027, 11101339]; Specialized Research Fund for the Doctoral Program of Higher Education of China [20120003110003]; Let A mu be a nonnegative Radon measure on a"e (d) which satisfies the polynomial growth condition that there exist positive constants C (0) and n a (0, d] such that, for all x a a"e (d) and r > 0, A mu(B(x, r)) a (c) 1/2 C (0) r (n) , where B(x, r) denotes the open ball centered at x and having radius r. In this paper, we show that, if A mu(a"e (d) ) < a, then the boundedness of a Caldern-Zygmund operator T on L (2)(A mu) is equivalent to that of T from the localized atomic Hardy space h (1)(A mu) to L (1,a)(A mu) or from h (1)(A mu) to L (1)(A mu).
语种	英语
出版者	HIGHER EDUCATION PRESS
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/91258]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Yang, Dachun,Yang, Dongyong,Yang DY. Boundedness of Caldern-Zygmund operators with finite non-doubling measures[J]. http://dx.doi.org/10.1007/s11464-013-0210-4,2013.
APA	Yang, Dachun,Yang, Dongyong,&杨东勇.(2013).Boundedness of Caldern-Zygmund operators with finite non-doubling measures.http://dx.doi.org/10.1007/s11464-013-0210-4.
MLA	Yang, Dachun,et al."Boundedness of Caldern-Zygmund operators with finite non-doubling measures".http://dx.doi.org/10.1007/s11464-013-0210-4 (2013).