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三角延拓与Beurling-Ahlfors延拓之间的双曲距离

Hyperbolic Distance between Triangle Extensions and Beurling-Ahlfors Extensions
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摘要 估计三角延拓与Beurling-Ahlfors延拓之间的双曲距离,建立上半平面两点之间双曲距离的解析表达式,改进Ibragimov的结果且得到了渐近精确的界限. In this article, the hyperbolic distance between triangle extension and Beurling-Ahlfors extension is esti- mated. The bound determined explicitly by the quasisymmetric constant is asymptotically sharp, which improves the one obtained by Ibragimov.
作者 陈敏 陈行堤
机构地区 华侨大学数学科学学院
出处 《华侨大学学报（自然科学版）》 CAS 北大核心 2012年第2期207-211,共5页 Journal of Huaqiao University(Natural Science)
基金 福建省自然科学基金资助项目(S0650019) 华侨大学科研基金资助项目(JB-ZR1136)
关键词 拟对称同胚 三角延拓 Beurling-Ahlfors延拓 双曲距离 quasisyrnmetric homeomorphisms triangle extensions Beurling-Ahlfors extensions hyperbolic distance
分类号 O174.55 [理学—基础数学]
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参考文献13

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二级参考文献10

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华侨大学学报（自然科学版）
2012年 第2期

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