| Properties for a Class of Holomorphic Mapson Hilbert Space |
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| 作者姓名： | 朱健民 |
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| 作者单位： | National University of Defence Technology，Changsha，410073 |
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| 摘 要： | Itiswell-knownthattheanalyticfunctionwithpositiverealpartintheunitdiscofthecomplexplaneplaysaveryimportantroleinthegeometrictheoryofcomplexvariablefunc-tions.Ithasbeenremarkablehowtoextendtheclassicalresultofthetheoryoffunctionstoabstractspacesinrecentyears2].Inthisnotewedefineageneralizedhalf-planeinHilbertspaceandfindthebiholomorphicmapoftheunitballonHilbertspaceontothishalf-plane.Asacorollary,wegiveashortproofofaresultin5].UsingtheaboveholomooorphicmapweobtainthedistortiontheoremandPick…
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| 关 键 词： | HilBert空间 全纯映照 PiCk－JuliA型定理 |
Properties for a Class of Holomorphic Maps on Hilbert Space |
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| Zhu Jianmin.Properties for a Class of Holomorphic Mapson Hilbert Space[J].Chinese Quarterly Journal of Mathematics,1998,13(2):103-106. |
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| Authors: | Zhu Jianmin |
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| Abstract: | In this note we deal with a class of holomorphic maps with generalized positive real part on Hilbert space. The distortion theorem and Pick Julia type theorem for these maps are obtained. |
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| Keywords: | Hilbert space holomorphic map |
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