有界强伪凸域上不同Dirichlet空间之间的复合算子

Composition Operator between Different Dirichlet Spaces on bounded Strongly Pseudoconvex Domains

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摘要研究了有界强伪凸域上不同Dirichlet空间之间的复合算子,引入η-Carleson测度,利用它给出了有界或紧的复合算子Cφ∶Dp(Ω) Dq(Ω) We study composition operator between different Dirichlet Spaces on strongly pseudoconvex domains,defined the η-Carleson measure, and use it to characterize the boundedness or compactness of composition operator C_φ∶D^p(Ω)D^q(Ω).

作者李颂孝

机构地区嘉应学院数学系

出处《嘉应学院学报》 2004年第3期5-8,共4页 Journal of Jiaying University

基金浙江省自科基金项目(102025)

关键词有界强伪凸域复合算子 DIRICHLET空间 η-Carleson测度 Dirichlet Space Bounded Strongly pseudoconvex Domains Composition Operator

分类号 O177.1 [理学—基础数学]

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参考文献10

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二级参考文献15

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共引文献1

1李颂孝.有界对称域上加权Dirichlet空间上的加权复合算子[J].湖州师范学院学报,2003,25(6):22-25. 被引量：2

1李颂孝.单位球上不同Privalov空间之间的复合算子[J].Journal of Mathematical Research and Exposition,2007,27(1):145-156.
2罗罗,史济怀.c^n中有界强拟凸域上Bergman空间的复合算子[J].数学年刊（A辑）,2003,24(6):721-728.
3罗罗,史济怀.单位球上不同Hardy空间之间的复合算子[J].数学学报（中文版）,2001,44(2):209-216. 被引量：6

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有界强伪凸域上不同Dirichlet空间之间的复合算子

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