| 映入E(q,p)的复合算子 |
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| 引用本文： | 刘永民. 映入E(q,p)的复合算子[J]. 数学季刊, 2003, 18(1): 29-34 |
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| 作者姓名： | 刘永民 |
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| 作者单位： | Department of Mathematics，Xuzhou Normal University，Xuzhou 221116，China |
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| 摘 要： | § 1 . Introduction LetD ={z:｜z｜ <1}betheunitdiskofcomplexplane,H(D)bethespaceofallana lysticfunctionsonD ,denoteLebesguemeasureonDbydm ,normalizedsothatm(D) =1.Fora ∈D ,σa(z) =a-z1- az istheMobiustransformationofDtoitselfandg(z,a) =log｜1- aza-z｜istheGreenfunctionofDwithsingularityata.Everyanalyticself mapφ :D →DoftheunitdiskinducesthroughcompositionalinearcompositionoperatorCφfromH(D)toitself.Itisawell knownconsequenceofLittlewood’ssubordinationprinciple( [1],[2 ])that…
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| 关 键 词： | 复合算子映射 有界性 Carleson测度 复平面 解析函数 Mobius变换 Littlewood从属原理 双曲空间 |
Composition Operators Mapping into the E(p,q) Spaces |
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| LIU Yong-min. Composition Operators Mapping into the E(p,q) Spaces[J]. Chinese Quarterly Journal of Mathematics, 2003, 18(1): 29-34 |
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| Authors: | LIU Yong-min |
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| Affiliation: | Departmentofmathematics,XuzhouNormulUniversity,Xuzhou221116,China |
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| Abstract: | Composition operators are used to study the E(p,q)spaces.The boundedness of these opera-tors is also considered.The criteria for these operators to be bounded are given in terms of the Carleson measure. |
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| Keywords: | bounded operator composition operator Bloch space Carleson measure |
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