| THE BLOCH CONSTANT OF LOCALLY BIHOLOMORPHIC MAPPINGS ON BOUNDED SYMMETRIC DOMAINS |
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| 引用本文： | Gong Sheng. THE BLOCH CONSTANT OF LOCALLY BIHOLOMORPHIC MAPPINGS ON BOUNDED SYMMETRIC DOMAINS[J]. 数学年刊B辑(英文版), 1996, 17(3): 271-278 |
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| 作者姓名： | Gong Sheng |
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| 作者单位： | Department of Mathematics，University of Science and Technology of China，Hefei 230026，China |
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| 摘 要： | 51.IntroductionIn[11,westudiedtheboundsofBlochconstantofholomorphicmappingsonirreducibleboundedsymmetricdomains.ThispaperisasuccessivepaPerof[1].WestudytheboundsoftheBlochconstantoflocallybiholomorphicmappingsonirreducibleboundedsymmetricdomains.AllthenotationsofthispaPerarethesameasthoseweusedin[1].LetDbeadomain,whichcontainstheorigin.AholomorphicmappingonDisdefinedasaBlochmappingifthefamilyofmappingsFj={g:g(z)=f(rk(z))-j(gh(o)),forallrkEAut(D)},isanormalfamily.TheBlochnormofaBlochmapp…
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| 关 键 词： | BLOCH常数 有界对称域 局部全纯映射 BLOCH映射 |
| 收稿时间： | 1994-05-30 |
THE BLOCH CONSTANT OF LOCALLY BIHOLOMORPHIC MAPPINGS ONBOUNDED SYMMETRIC DOMAINS |
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| Gong Sheng. THE BLOCH CONSTANT OF LOCALLY BIHOLOMORPHIC MAPPINGS ONBOUNDED SYMMETRIC DOMAINS[J]. Chinese Annals of Mathematics,Series B, 1996, 17(3): 271-278 |
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| Authors: | Gong Sheng |
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| Affiliation: | DepartmentofMathematics,UniversityofScienceandTechnologyofChina,Hefei230026,China. |
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| Abstract: | The estimations of the bounds of the Bloch constant of locally biholomorphic mappingson irreducible bounded symmetric domains are given. When the domain is a unit circle, theestimation of the lower bounds is just the famous one-half estimation. |
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| Keywords: | Bounded symmetric domain Bloch mapping Bloch constant Locally biholomorphic mapping |
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