| 上半平面调和拟共形同胚的延拓定理 |
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| 引用本文： | 马照海.上半平面调和拟共形同胚的延拓定理[J].漳州师院学报,2010,24(2):5-9. |
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| 作者姓名： | 马照海 |
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| 作者单位： | 漳州师范学院,政治法律系,福建,漳州,363000 |
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| 基金项目： | 华侨大学科研基金资助项目（08HZR19） |
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| 摘 要： | 设φ（x）为定义在实轴R上的保向同胚映照,本文证明：如果essinfφ＇（x）〉0,esssup φ＇（x）〈＋∞且满足Dini条件∫0^＋∞∣φ＇（x＋t）-φ＇（x-t）∣/tdt＋∞,对于任意的x∈R,则φ（x）可以被延拓成上半平面到自身上的调和拟共形映照.
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| 关 键 词： | 调和映照 拟共形映照 拟共形延拓 |
On Zhang Shen-fu's "Three-in-one" Thought of Marxism Philosophy in China |
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| ZHU Jian-feng.On Zhang Shen-fu's "Three-in-one" Thought of Marxism Philosophy in China[J].Journal of ZhangZhou Teachers College(Philosophy & Social Sciences),2010,24(2):5-9. |
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| Authors: | ZHU Jian-feng |
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| Institution: | ZHU Jian-feng(School of Mathematical Science,Huaqiao University,Quanzhou,Fujian 362021,China) |
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| Abstract: | Let φ（x） be an orientation preserving homeomorphism defined in the real axis R.In this paper,we prove that if essinf φ＇（x）0,esssup φ＇（x）＋∞and Dini condition ∫0^＋∞∣φ＇（x＋t）-φ＇（x-t）∣/tdt＋∞ holds for ever x ∈R,then φ（x） can be extension into a quasiconformal harmonic mapping of a half-plane. |
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| Keywords: | Harmonic mapping Quasiconformal mapping Quasiconformal extension |
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