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Essential Norm of Extended Ceshro Operators between Bloch-type Spaces被引量：1
《Chinese Quarterly Journal of Mathematics》2013年第1期105-110,共6页ZHAO Di 
Supported by the NNSF of China（10771064）; Supported by the Natural Science Foundation of Zhejiang Province（YT080197, Y6090036, Y6100219）; Supported by the Foundation of Creative Group in Colleges and Universities of Zhejiang Province（T200924） Acknowledgement The author would like to express her thanks to her supervisor, Prof HU Zhang-jian, for his guidance.
The Bloch-type space Bω consists of all functions f ∈ H（B） for which｜｜f｜｜Bω =sup z∈Bω（z）｜△f（z）｜〈∞Let Tφ be the extended Cesaro operator with holomorphic symbol φ. The essential norm of Tφ as an ...
关键词：extended Cesaro operator Bloch-type space essential norm 
Composition-integral Type Operators from F（p, q, s） Spaces to Bloch-type Spaces被引量：2
《Chinese Quarterly Journal of Mathematics》2012年第3期352-356,共5页LV Xiao-fen YING Shao-hong 
Supported by the NNSF of China(10771064, 11101139);Supported by the NSF of Zhejiang Province(Y7080197, Y6090036, Y6100219);Supported by the Foundation of Creative Group in Colleges and Universities of Zhejiang Province(T200924)
This paper deals with the boundedness and compactness of the compositionintegral type operators T g, from F (p, q, s) spaces to(little) Bloch-type spaces in the unit ball of C n , where Tg,φf(z) =∫01fφ(tz)Rg(tz)(dt...
关键词：F (p  q  s) space Bloch-type space BOUNDEDNESS COMPACTNESS 
Products of Extended Ceshro Operator and Composition Operator from Generalized Besov Spaces to Zygmund Spaces
《Chinese Quarterly Journal of Mathematics》2012年第2期204-212,共9页OUYANG Xiao-rong 
Foundation item： Supported by the National Natural Science Foundation of China（10771064）; Supported by the Natural Science Foundation of Zhejiang Province（YT080197, Y6090036, Y6100219）; Supported by the Foundation of Creative Group in Colleges and Universities of Zhejiang Province（T200924） Acknowledgement The author would like to express his thanks to his supervisor, Prof HU Zhang-jian, for his guidence.
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...
关键词：extended Cearo operator composition operator generalized Besov space Zygmund space 
EXTENDED CESRO OPERATORS AND MULTIPLIERS ON BMOA被引量：1
《Acta Mathematica Scientia》2012年第2期559-567,共9页吕小芬 
supported by the National Natural Science Foundation of China(10771064,11101139);Natural Science Foundation of Zhejiang province (Y7080197,Y6090036,Y6100219);Foundation of Creative Group in Universities of Zhejiang Province (T200924)
In this article, we characterize the boundedness and compactness of extended Cesaro operators on the spaces BMOA by the Carleson measures in the unit ball. Mea while, we study the pointwise multipliers on BMOA.
关键词：Extended Cesaro operator MULTIPLIER Carleson measure BMOA. 
从Bergman空间到Dirichlet空间的广义Cesàro算子
《湖州职业技术学院学报》2012年第1期1-4,共4页孟一梅 
国家自然科学基金项目"多复变函数空间上的算子及应用(10771064)";浙江省自然基金项目"调和函数空间上的几类线性算子(Y7080197)";"多复变函数空间上的Toeplitz和Hankel算子(Y6090036)"和"几类全纯函数空间及相关算子的研究与应用(Y6100219)"
对α,β>-1,0
关键词：BERGMAN空间 DIRICHLET空间 CESÀRO算子 
Bloch型空间到其他空间上的广义Cesàro算子的本性模(英文)
《湖州师范学院学报》2012年第1期16-22,共7页赵弟 
Supported by the National Natural Science Foundation of China(10771064);Natural Science Foundation of Zhejiang Province(Y7080197,Y6090036,Y6100219);Foundation of Creative Group in Colleges and Universities of Zhejiang Province(T200924)
H(B)表示单位球上B的全纯函数类.对p>0,单位球上的Bloch型空间用Bp表示.对给定的g∈H(B),我们给出了广义Cesàro算子Tg在不同Bloch型空间上本性模的等价条件.
关键词：广义Cesàro算子 BLOCH型空间 本性模 
Operators on the orthogonal complement of the Dirichlet space (Ⅱ)被引量：2
《Science China Mathematics》2011年第9期2005-2012,共8页YU Tao 
supported by National Natural Science Foundation of China (Grant Nos.10971195 and 10771064);Natural Science Foundation of Zhejiang Province (Grant Nos. Y6090689 and Y6110260);Zhejiang Innovation Project (Grant No. T200905)
In this paper we first prove that a dual Hankel operator Rφ on the orthogonal complement of the Dirichlet space is compact for φ ∈ W^1,∞（D）, and then that a semicommutator of two Toeplitz operators on the Dirich...
关键词：Sobolev space Dirichlet space dual Toeplitz operator dual Hankel operator Toeplitz operator 
Extended Cesàro Operators between Different Bergman Spaces in the Ball
《Journal of Mathematical Research and Exposition》2011年第3期545-550,共6页Xiao Fen LU 
Supported by the National Natural Science Foundation of China (Grant No. 10771064);the Natural Science Foundation of Zhejiang Province (Grant Nos. Y7080197; Y6090036; Y6100219);Foundation of Creative Group in Universities of Zhejiang Province (Grant No. T200924)
In this paper,we obtain the characterizations on μ for（p,q）-φCarleson measure,and discuss the boundedness（and compactness） of the extended Cesaro operators T g between different weighted Bergman spaces as some a...
关键词：extended Cesaro operator Bergman space normal function. 
COMPACT COMPOSITION OPERATORS ON WEIGHTED BERGMAN SPACES ON BOUNDED SYMMETRIC DOMAINS
《Acta Mathematica Scientia》2011年第2期468-476,共9页吕小芬 胡璋剑 
Supported by the National Natural Science Foundation of China (10771064);Natural Science Foundation of Zhejiang Province (Y7080197, Y6090036, Y6100219);Foundation of Creative Group in Colleges and Universities of Zhejiang Province (T200924);Foundation of Department of Education of Zhejiang province (20070482)
In this article, we borrow the idea of using Schur＇s test to characterize the compactness of composition operators on the weighted Bergman spaces in a bounded symmetricdomain Ω and verify that Cφ is compact on Lqa...
关键词：Composition operator weighted Bergman space bounded symmetric do-mains 
球上Zygmund型空间上的加权Cesàro算子被引量：3
《数学物理学报（A辑）》2011年第1期188-195,共8页张金芳 徐辉明 
国家自然科学基金(10771064);浙江省自然科学基金(D7080080;Y6090694)资助
该文在C^n中单位球上讨论了Zygmund型空间(小Zygmund型空间)之间的加权Cesaro算子T_g的有界性和紧性特征,得到了以下的结果:(1)Tg是Z^p到Z^q的有界算子或紧算子的充要条件;(2)T_g是Z_0~p到Z_0~q的有界算子或紧算子的充要条件.
关键词：ZYGMUND型空间 加权CESÀRO算子 有界性 紧性 
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