可积Teichm¨uller空间的预Bers投影及相关结果.pdf

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摘要···················································································I

Abstract·················································································III

1研究背景及主要结果······························································1

1.1研究背景及主要结果······················································1

2准备知识················································································9

2.1万有Teichm¨uller空间·····················································9

2.2拟共形反射····································································11

2.3次可积Teichm¨uller空间················································14

2.4Bers投影·······································································17

3空间中定理的证明······························································23

3.1定理1.1.6的证明····························································23

3.2预Bers投影是全纯的证明···············································24

3.3预Bers投影有全纯截面的证明········································26

3.4微分是有界满射算子的证明···········································27

总结与展望···············································································29

参考文献···················································································31

致谢···················································································37

硕士学位期间主要研究成果·······················································39

贵州师范大学学位论文原创性声明············································41

贵州师范大学学位论文使用授权书························

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