Composition operators on analytic vector-valued Nevanlinna classes

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	Composition operators on analytic vector-valued Nevanlinna classes
	Wang, MF
刊名	ACTA MATHEMATICA SCIENTIA
	2005-10-01
卷号	25 期号:4 页码:771-778
关键词	composition operator boundedness weak compactness Carleson measure vector-valued Nevanlinna class
英文摘要	Let phi be an analytic self-map of the complex unit disk and X a Banach space. This paper studies the action of composition operator C-phi: f -> f circle phi on the vector-valued Nevanlinna classes N(X) and N-alpha(X). Certain criteria for such operators to be weakly compact are given. As a consequence, this paper shows that the composition operator C-phi is weakly compact on N(X) and N-alpha(X) if and only if it is weakly compact on the vector-valued Hardy space H-1(X) and Bergman space B-1(X) respectively.
WOS标题词	Science & Technology ; Physical Sciences
类目[WOS]	Mathematics
研究领域[WOS]	Mathematics
关键词[WOS]	COMPACT COMPOSITION OPERATORS ; FUNCTION-SPACES
收录类别	SCI
语种	英语
WOS记录号	WOS:000233058300022
公开日期	2015-07-28
内容类型	期刊论文
源URL	[http://ir.wipm.ac.cn/handle/112942/4466]
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	1.CAS, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China 2.Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
推荐引用方式 GB/T 7714	Wang, MF. Composition operators on analytic vector-valued Nevanlinna classes[J]. ACTA MATHEMATICA SCIENTIA,2005,25(4):771-778.
APA	Wang, MF.(2005).Composition operators on analytic vector-valued Nevanlinna classes.ACTA MATHEMATICA SCIENTIA,25(4),771-778.
MLA	Wang, MF."Composition operators on analytic vector-valued Nevanlinna classes".ACTA MATHEMATICA SCIENTIA 25.4(2005):771-778.