Boundedness of Weighted Composition Operators on Bloch Type Spaces 被引量：1

Boundedness of Weighted Composition Operators on Bloch Type Spaces

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摘要 In this paper, we give a necessary and sufficient condition for weighted composition operators Cu,φ to be boundedness on Bloch type spaces B^α. The theorem generalizes some previous results.

作者 GUO Ji-dong LIU Pin GAO Wen-hua NUERDANBIEKE Baitakazi

机构地区 Department of Mathematics Institute of Mathematics College of Operators Research College of Mathematics and System Sciences

出处《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2008年第3期356-359,共4页 数学季刊（英文版）

基金 the Scientific Research Program of the Higher Education Institution of Xinjiang(XJEDU2005E06)

关键词 weighted composition operator Bloch type space BOUNDEDNESS 加权复合算子 Bloch型空间有界性数学

分类号 O174.5 [理学—数学]

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参考文献5

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同被引文献4

1XUHui-ming LIUTai-shun.Weighted Composition Operators between Hardy Spaces on the Unit Ball[J].Chinese Quarterly Journal of Mathematics,2004,19(2):111-119. 被引量：6
2卢玉峰.Compact Operators on the Bergman Spaces of the Unit Ball and the Polydisk in C^n[J].Northeastern Mathematical Journal,2000,16(3):347-356. 被引量：7
3周泽华,魏中齐.多圆柱上的Bloch空间上的加权复合算子[J].数学杂志,2005,25(4):435-440. 被引量：11
4胡蓉,张瑞.Bloch空间上一类特殊复合算子的上界估计[J].四川文理学院学报,2013,23(2):17-19. 被引量：1

引证文献1

1HU Rong,HU Peng-yan.Composition Operators on the Weighted Bergman Space in the Unit Polydisk[J].Chinese Quarterly Journal of Mathematics,2014,29(1):9-13. 被引量：1

二级引证文献1

1胡蓉,李红梅.多圆柱上加权Bergman空间上的Hausdorff伴随算子[J].乐山师范学院学报,2014,29(12):23-25.

1LIU Jing Cheng ZHANG Xue Jun LI du Xiang.Weighted Composition Operators between Bergman-Type Spaces[J].Journal of Mathematical Research and Exposition,2009,29(5):848-856. 被引量：1
2LIU Yong Min,ZHANG Fang.Weighted Composition Operators from Aα^p to A^∞（φ）[J].Journal of Mathematical Research and Exposition,2008,28(3):535-540. 被引量：2
3Yongxin GAO,Sanjay KUMAR,Zehua ZHOU.Order Bounded Weighted Composition Operators Mapping into the Dirichlet Type Spaces[J].Chinese Annals of Mathematics,Series B,2016,37(4):585-594. 被引量：4
4XUHui-ming LIUTai-shun.Weighted Composition Operators between Hardy Spaces on the Unit Ball[J].Chinese Quarterly Journal of Mathematics,2004,19(2):111-119. 被引量：6
5Lian Kuo ZHAO,Sheng Zhao HOU.A Note on Weighted Composition Operators on the Weighted Bergman Space[J].Acta Mathematica Sinica,English Series,2015,31(6):947-952.
6Min Zhu ZHANG,Huai Hui CHEN.Weighted Composition Operators of H~∞ intoα-Bloch Spaces on the Unit Ball[J].Acta Mathematica Sinica,English Series,2009,25(2):265-278. 被引量：2
7唐笑敏.Weighted Composition Operators fromα-Bloch Spaces to H~∞[J].Chinese Quarterly Journal of Mathematics,2007,22(3):370-376. 被引量：1
8Liankuo ZHAO.Fredholm Weighted Composition Operators on Hardy Space[J].Journal of Mathematical Research with Applications,2013,33(3):361-364.
9LU Xiao-fen.Weighted composition operators from F(p,q,s) spaces to Bers-type spaces in the unit ball[J].Applied Mathematics(A Journal of Chinese Universities),2009,24(4):462-472. 被引量：2
10Robert F.Allen.Weighted Composition Operators from the Bloch Space to Weighted Banach Spaces on Bounded Homogeneous Domains[J].Analysis in Theory and Applications,2014,30(2):236-248.

Chinese Quarterly Journal of Mathematics

2008年第3期

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Boundedness of Weighted Composition Operators on Bloch Type Spaces 被引量：1

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