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composition operator from Logarithmic Bloch-Type Space to Bergman Space on Unit Polydisc

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Transactions of Tianjin University 2011年第6期17卷 450-453页

作者：张利曾红刚 School of Sciences Tianjin University

In order to investigate the boundedness or compactness of composition operator from the logarithmic Bloch-type space to the Bergman space on the unit polydisc, the classic Bergman norm is firstly changed into another equivalent norm. Then according to some common inequalities, the properties of logarithmic Bloch-type space and the absolute continuity of the general integral, the conditions which the symbol map must meet when the composition operator is bounded or compact are obtained after a series of calculations, and the boundedness and compactness are proved to be equivalent.

关键词： composition operator logarithmic Bloch-type space Bergman space compactness boundedness

An Upper Bound of Essential Norm of composition operator on H^2(B_n)

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Chinese Annals of Mathematics,Series B 2012年第6期33卷 841-856页

作者： Zhihua CHEN Liangying JIANG Qiming YAN Department of Mathematics Tongji University Department of Applied Mathematics Shanghai Finance University Department of Mathematics Tongji University

The authors give an upper bound of the essential norm of a composition operator on H2(Bn),which involves the counting function in the higher dimensional value distribution theory defined by ***.A criterion is also giv... 详细信息

关键词： Essential norm composition operator Hardy space

COLLECTIVELY COMPACT composition operator SEQUENCES BETWEEN BERGMAN AND HARDY SPACES

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Acta Mathematica Scientia 2004年第2期24卷 206-212页

作者：王茂发刘培德 SchoolofMathematicsandStatistics WuhanUniversityWuhan430072China

This paper studies the collective compactness of composition operator sequences between the Bergman and Hardy spaces. Some sufficient and necessary conditions involving the generalized Nevanlinna counting functions fo... 详细信息

关键词： Bergman space Hardy space composition operator collectively compact operator sequence

THE COMPACT composition operator ON THE μ-BERGMAN SPACE IN THE UNIT BALL

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Acta Mathematica Scientia 2017年第2期37卷 425-438页

作者：黎深莲张学军徐思 College of Mathematics and Computer Science Hunan Normal University Changsha 410006 China

Let p 〉 0 and μ be a normal function on [0, 1）, u（r） = （1 - r2）1＋n^pμ（r） for r ∈ [0, 1）. In this article, the bounded or compact weighted composition operator Tφ,ψ from the μ-Bergman space AP（p） to the normal weight Bloch type space β （r）in the unit ball is characterized. The briefly sufficient and necessary condition that the composition operator Cφ is compact from A^p（μ） to βv, is given. At the same time, the authors give the briefly sufficient and necessary condition that Cv is compact on βμ, for a 〉 1.

关键词： μ-Bergman space μ-Bloch space composition operator compactness

composition operator From Qk Space to Bloch-type Space

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Composition Operator From Qk Space to Bloch-type Space

The Compactness of composition operator Between βμ（B）and βμ（D）

不确定性——新内涵、新魅力、新机遇、新挑战——第十届中国不确定系统年会暨第十四届中国青年信息与管理学者大会

作者： Guangrong Liu,Jia Liu Science of College,Air Force Engineering University,Xi'an 710051,China

Necessary and sufficient conditions are given for a composition operator Cf = fo（?） to be bounded and compact from Q space to Bloch-type space.

关键词： Bloch-type spaces Qk space composition operator

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International English Education Research 2016年第6期 77-79页

作者： ZHAI Fan LEI Yuqiong ZHANG Jianjun Department of Basic City Career Academy ofZhengzhou Zhengzhou China 452370

Necessary and sufficient are given for a composition operator Co = foφ to be compact between βμ（B） and βμ（D） and between βμ,0（B） and βμ,0（D） .

关键词： composition operator analytic function banach space bloch space compactness

Products of Extended Ceshro operator and composition operator from Generalized Besov Spaces to Zygmund Spaces

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Chinese Quarterly Journal of Mathematics 2012年第2期27卷 204-212页

作者： OUYANG Xiao-rong Jinxiu Middle School Hangzhou 310011 China

We characterize the boundedness and compactness of the product of extended Cesaro operator and composition operator TgCφ from generalized Besov spaces to Zygmund spaces, where g is a given holomorphic function in the unit disk D, φ is an analytic self-map of Ii） and TgC~ is defined byTgCφf（z）=∫z 0 f（φ（t））g′（t）dt.

关键词： extended Cearo operator composition operator generalized Besov space Zygmund space

composition operators on α-Bloch Spaces of the Unit Ball

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Acta Mathematica Sinica,English Series 2007年第11期23卷 1991-2002页

作者： Min Zhu ZHANG Wen XU Department of Mathematics Nanjing Normal University Nanjing 210097 P. R. China Department of Mathematics Southeast University Nanjing 210096 P. R. China Department of Physics and Mathematics University of Joensuu Fin-80101 Joensuu Finland

The authors characterize the boundedness and compactness of composition operators between α-Bloch spaces of the unit ball.

关键词： α-Bloch space composition operator boundedness compactness

composition operators on the Bloch Space of Several Complex Variables

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Acta Mathematica Sinica,English Series 2000年第1期16卷 85-98页

作者： Jihuai Shi Luo Luo Department of Mathematics,University of Science and Technology of China,Heifei 230036,P.R.China Fax:(0551)3631760 Department of Mathematics University of Science and Technology of China Heifei 230036 P.R. China

In this paper,we study the boundedness and compactness of composition operator C on the Bloch space β（Ω）,Ω being a bounded homogeneous *** Ω=Bn,we give the necessary and sufficient conditions for a composition o... 详细信息

关键词： Bloch space composition operator Bergman metric