广义Besov空间到Zygmund空间的广义Cesàro算子与复合算子的积(英文) |
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引用本文: | 欧阳小荣.广义Besov空间到Zygmund空间的广义Cesàro算子与复合算子的积(英文)[J].数学季刊,2012(2):204-212. |
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作者姓名: | 欧阳小荣 |
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作者单位: | Jinxiu Middle School |
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基金项目: | Supported by the National Natural Science Foundation of China(10771064);Supported by the Natural Science Foundation of Zhejiang Province(Y7080197,Y6090036,Y6100219);Supported by the Foundation of Creative Group in Colleges and Universities of Zhejiang Province(T200924) |
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摘 要: | We characterize the boundedness and compactness of the product of extended Cesaro operator and composition operator T_gC_φ 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 D and T_gC_φ is defined by T_gC_φf(z) = f(φ(t))g~’(t)dt from t=0 to z.
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关 键 词: | extended Ces`aro operator composition operator generalized Besov space Zygmund space |
Products of Extended Cesàro Operator and Composition Operator from Generalized Besov Spaces to Zygmund Spaces |
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Institution: | OUYANG Xiao-rong(Jinxiu Middle School,Hangzhou 310011,China) |
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