| 双曲区域上拟共形映照的极值问题 |
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| 引用本文： | 梁向前,朱华成.双曲区域上拟共形映照的极值问题[J].复旦学报(自然科学版),2001,40(6):645-648. |
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| 作者姓名： | 梁向前 朱华成 |
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| 作者单位： | 复旦大学数学研究所非线性数学实验室, |
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| 基金项目： | NationalNaturalScienceFoundationofChina(198710 14) |
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| 摘 要： | 证明了对于双曲区域{z=x+
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| 关 键 词： | 拟共形同胚 共形模 双曲区域 极值问题 拟共形映照 拓扑四边形 边界对应 |
An Extremal Problem of Quasiconformal Mappings in Hyperboluic Regions |
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| LIANG Xang-qian,ZHU Hua-cheng.An Extremal Problem of Quasiconformal Mappings in Hyperboluic Regions[J].Journal of Fudan University(Natural Science),2001,40(6):645-648. |
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| Authors: | LIANG Xang-qian ZHU Hua-cheng |
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| Abstract: | The boundary correspondence of the affine stretch A K(z)=K x+iy in the hyperbolic regions{z=x+iy:x 2a 2-y 2b 2>1,x>0} is proved to have the property that the extremal maximal dilatation is equal to the supremum of the ratios of the moduli of quadrilaterals. |
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| Keywords: | quasisymmetric homeomorphism substantial point modulus of quadrilateral |
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