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从B0到QK和QK,0空间的复合算子(英文)

Composition Operators From B0 to QK and QK,0 Spaces

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【作者】 郭健刘永民

【Author】 GUO Jian1,2,LIU Yong-min2(1.Department of Basic Courses,Xuzhou Professional of Architectural Technologies,Xuzhou 221116,China;2.College of Mathematics and Science,Xuzhou Normal University,Xuzhou 221116,China)

【机构】 Department of Basic Courses,Xuzhou Professional of Architectural TechnologiesCollege of Mathematics and Science,Xuzhou Normal University

【摘要】 When φ is an analytic map of the unit disk D into itself,and X is a Banach space of analytic functions on D,define the composition operator Cφ by Cφ(f) = f οφ,for f ∈ X.In this paper,we study the boundedness and compactness of composition operators from the space B0 to QK and QK,0.

【Abstract】 When φ is an analytic map of the unit disk D into itself,and X is a Banach space of analytic functions on D,define the composition operator Cφ by Cφ(f) = f ο φ,for f ∈ X.In this paper,we study the boundedness and compactness of composition operators from the space B0 to QK and QK,0.

【基金】 Supported by the Natural Science Foundation of China(10471039);Supported by the Natural Science Foundation of the Education Committee of Jiangsu Province of China(06KJD110175;07KJB110115);Supported by the Scientific Research Foundation of Xuzhou professional of Architectural Technologies(07JYA3-13)
  • 【文献出处】 数学季刊 ,Chinese Quarterly Journal of Mathematics , 编辑部邮箱 ,2010年01期
  • 【分类号】O177
  • 【被引频次】1
  • 【下载频次】121
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