| Bergman空间上的加权复合算子及应用(英文) |
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| 引用本文： | 胡小浇,章国凤,于涛.Bergman空间上的加权复合算子及应用(英文)[J].数学杂志,2012(1):1-8. |
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| 作者姓名： | 胡小浇 章国凤 于涛 |
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| 作者单位： | 浙江师范大学数学系 |
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| 基金项目： | Supported by the National Natural Science Foundation of China ( 10971195; 10771064);the Natural Science Foundation of Zhejiang Province (Y6090689) |
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| 摘 要： | 本文研究了单位圆盘上Bergman空间上的加权复合算子和复平面的单连通域(不是全平面)上Bergman空间上的复合算子的有界性和紧性.利用复分析方法,获得了有界性与紧性的一些充分条件和必要条件,推广了Hardy空间上的若干相关结果.
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| 关 键 词： | Bergman空间 加权复合算子 角导数 |
WEIWEIGHTED COMPOSITION OPERATORS ON BERGMAN SPACE AND APPLICATIONS |
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| HU Xiao-jiao,ZHANG Guo-feng,YU Tao.WEIWEIGHTED COMPOSITION OPERATORS ON BERGMAN SPACE AND APPLICATIONS[J].Journal of Mathematics,2012(1):1-8. |
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| Authors: | HU Xiao-jiao ZHANG Guo-feng YU Tao |
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| Institution: | (Department of Mathematics,Zhejiang Normal University,Jinhua 321004,China) |
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| Abstract: | In this article,we study the boundedness and compactness of weighted compositiono perators on Bergman space over the open unit disk and composition operators on Bergman spaceover a simply connected domain which is not the entire complex plane.By the method of complex analysis,we obtain some sufficient conditions and necessary conditions for boundedness as well as compactness,that generalize some relative results on Hardy space to Bergman space. |
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| Keywords: | Bergman space weighted composition operator angular derivative |
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