摘要
研究了Agard的η偏差函数与k拟共形映射上(下)界的关系,应用Agard的η偏差函数的性质给出了k拟共形映射上(下)界的表达式;得到了交比在k拟共形映射下的偏差估计.
The relation of upper（lower） bound of k-quasiconformal mappings and η-distortion function of Agard was studied.By means of the quality of η-distortion function of Agard,the upper（lower） bound expression of k-quasiconformal mappings were given.And the distortion estimator of cross ratio under k-quasiconformal mappings were obtained.
基金
安徽省教育厅自然科学研究基金(2008KJ206)资助
关键词
Agard的η偏差函数
k拟共形映射
交比
偏差估计
η-distortion function of Agard
k-quasiconformal mappings
cross ratio
distortion estimator
