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Beurling-Ahlfors延拓与调和映照 被引量：1

Beurling-Ahlfors Extensions and Harmonic Mappings
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摘要 研究BA延拓和调和映照的关系,首先,给出了BA延拓为双曲调和的一个必要条件,特别地,若边界对应h局部是C^2和奇的,则其BA延拓不是双曲调和的。其次,证明了若h是分段C^2的则其BA延拓不是π调和的,除非h(x)=ax+b,x∈R. This paper studies the connection between BA-extensions and harmonic mappings. Firstly, the necessary condition for a BA-extension to be hyperbolic harmonic is obtained. Particularly, if a boundary correspondence h is locally in C^2 and odd, then the BA-extension of h is not hyperbolic harmonic. Secondly, if h is in C^2 piecewisely, then the BA-extension of h is not π-harmonic unless h（x） = ax ＋ b, x ∈ R.
作者 陈行堤
机构地区 上海交通大学数学系
出处 《数学年刊（A辑）》 CSCD 北大核心 2007年第4期537-544,共8页 Chinese Annals of Mathematics
基金 国家自然科学基金(No.10271077) 福建省自然科学基金(No.S0650019)资助的项目。
关键词 拟共形映照 调和映照 拟对称同胚 Quasiconformal mappings, Harmonic mappings, Quasisymmetric homeomorphisms,
分类号 O174.5 [理学—基础数学]
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参考文献10

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同被引文献12

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引证文献1

数学年刊（A辑）
2007年 第4期

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