拟对称图与Zygmund函数
Quasisymmetric graphs and Zygmund functions
摘要：
一个拟对称图是一条曲线，它在直线上的投影是一个拟对称映射。我们表明，这类曲线是有关的解决方案减少Beltrami方程和推广的Zygmund类$Λ_*$。这种关系使得有可能使用调和分析的工具来构造拟对称图和拟共形映射的非平凡例子。
英文摘要：
A quasisymmetric graph is a curve whose projection onto a line is a quasisymmetric map. We show that this class of curves is related to solutions of the reduced Beltrami equation and to a generalization of the Zygmund class $Λ_*$. This relation makes it possible to use the tools of harmonic analysis to construct nontrivial examples of quasisymmetric graphs and of quasiconformal maps.
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