HARDY SPACES OF OPERATOR-VALUED ANALYTIC FUNCTIONS

CORC > 武汉物理与数学研究所 > 中国科学院武汉物理与数学研究所 > 2011年以前论文发表（包括2011年）

	HARDY SPACES OF OPERATOR-VALUED ANALYTIC FUNCTIONS
	Chen, Zeqian
刊名	ILLINOIS JOURNAL OF MATHEMATICS
	2009-03-01
卷号	53 期号:1 页码:303-324
通讯作者	Chen, ZQ (reprint author), Chinese Acad Sci, Wuhan Inst Phys & Math, 30 West Dist, Wuhan 430071, Peoples R China.
英文摘要	We are concerned with Hardy and BMO spaces of operator-valued functions analytic in the unit disk of C. In the case of the Hardy space, we involve the atomic decomposition since the usual argument in the scalar setting is not suitable. Several properties (the Garsia-norm equivalent theorem, Carleson measure, and so on) of BMOA spaces are extended to the operator-valued setting. Then, the operator-valued H-1-BMOA duality theorem is proved. Finally, by the H-1-BMOA duality we present the Lusin area integral and Littlewood-Paley g-function characterizations of the operator-valued analytic Hardy space.
WOS标题词	Science & Technology ; Physical Sciences
类目[WOS]	Mathematics
研究领域[WOS]	Mathematics
关键词[WOS]	PARAPRODUCTS ; THEOREM
收录类别	SCI
语种	英语
WOS记录号	WOS:000279159300017
内容类型	期刊论文
源URL	[http://ir.wipm.ac.cn/handle/112942/2264]
专题	武汉物理与数学研究所_2011年以前论文发表（包括2011年）
作者单位	Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China
推荐引用方式 GB/T 7714	Chen, Zeqian. HARDY SPACES OF OPERATOR-VALUED ANALYTIC FUNCTIONS[J]. ILLINOIS JOURNAL OF MATHEMATICS,2009,53(1):303-324.
APA	Chen, Zeqian.(2009).HARDY SPACES OF OPERATOR-VALUED ANALYTIC FUNCTIONS.ILLINOIS JOURNAL OF MATHEMATICS,53(1),303-324.
MLA	Chen, Zeqian."HARDY SPACES OF OPERATOR-VALUED ANALYTIC FUNCTIONS".ILLINOIS JOURNAL OF MATHEMATICS 53.1(2009):303-324.