COMPACT DIFFERENCES OF COMPOSITION OPERATORS ON HOLOMORPHIC FUNCTION SPACES IN THE UNIT BALL
Jiang Liangying1,2; Ouyang Caiheng3
刊名ACTA MATHEMATICA SCIENTIA
2011-09-01
卷号31期号:5页码:1679-1693
关键词composition operators Hardy space Bergman spaces compact differences
产权排序第三
英文摘要We find a lower bound for the essential norm of the difference of two composition operators acting on H-2(B-N) or A(s)(2) (B-N) (s > -1). This result plays an important role in proving a necessary and sufficient condition for the difference of linear fractional composition operators to be compact, which answers a question posed by MacCluer and Weir in 2005.
学科主题数学
WOS标题词Science & Technology ; Physical Sciences
类目[WOS]Mathematics
研究领域[WOS]Mathematics
关键词[WOS]FRACTIONAL COMPOSITION OPERATORS ; COMPONENTS
收录类别SCI
语种英语
WOS记录号WOS:000295352500003
内容类型期刊论文
源URL[http://ir.wipm.ac.cn/handle/112942/1929]  
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.Tongji Univ, Dept Math, Shanghai 200092, Peoples R China
2.Shanghai Finance Univ, Dept Appl Math, Shanghai 201209, Peoples R China
3.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China
推荐引用方式
GB/T 7714
Jiang Liangying,Ouyang Caiheng. COMPACT DIFFERENCES OF COMPOSITION OPERATORS ON HOLOMORPHIC FUNCTION SPACES IN THE UNIT BALL[J]. ACTA MATHEMATICA SCIENTIA,2011,31(5):1679-1693.
APA Jiang Liangying,&Ouyang Caiheng.(2011).COMPACT DIFFERENCES OF COMPOSITION OPERATORS ON HOLOMORPHIC FUNCTION SPACES IN THE UNIT BALL.ACTA MATHEMATICA SCIENTIA,31(5),1679-1693.
MLA Jiang Liangying,et al."COMPACT DIFFERENCES OF COMPOSITION OPERATORS ON HOLOMORPHIC FUNCTION SPACES IN THE UNIT BALL".ACTA MATHEMATICA SCIENTIA 31.5(2011):1679-1693.
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