国家自然科学基金(Y6100219)

作品数：7被引量：2H指数：1
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相关作者：赵弟孟一梅更多>>
相关机构：浙江师范大学杭州电子科技大学更多>>
相关期刊：《湖州师范学院学报》《Acta Mathematica Scientia》《Chinese Annals of Mathematics,Series B》《Chinese Quarterly Journal of Mathematics》更多>>
相关主题：EXTENDEDCESAROOPERATORSOPERATORCESÀRO算子更多>>
相关领域：理学更多>>
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Carleson Type Measures for Harmonic Mixed Norm Spaces with Application to Toeplitz Operators
《Chinese Annals of Mathematics,Series B》2013年第4期623-638,共16页Zhangjian HU Xiaofen LV 
supported by the National Natural Science Foundation of China(Nos.11101139,11271124);the Natural Science Foundation of Zhejiang Province(Nos.Y6090036,Y6100219);the Foundation of Creative Group in Universities of Zhejiang Province(No.T200924)
Let Ω be a bounded domain in Rnwith a smooth boundary, and let h p,q be the space of all harmonic functions with a finite mixed norm. The authors first obtain an equivalent norm on h p,q, with which the definition of...
关键词：Carleson type measure Harmonic mixed norm space Toeplitz operator Bergman projection 
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 
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. 
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 
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 
Bloch空间上的广义Cesàro算子的本性模(英文)
《湖州师范学院学报》2011年第2期17-20,共4页孟一梅 
supported by the National Natural Science Foundation of China(10771064);Natural Science Foundation of Zhejiang Province(Y7080197,Y6090036,Y6100219)
H(B)是单位球B上的全纯函数的全体,对g∈H(B),讨论了Bloch空间上的广义Cesàro算子Tg的本性模估计.利用上极限,给出了‖Tg‖e,B→B的表示.此处‖Tg‖e,B→B表示Bloch空间上的广义Cesàro算子的本性模.
关键词：BLOCH空间 广义Cesàro算子 本性模 
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