On the extremal sets of extremal quasiconformal mappings

被引：0
|
作者：
周泽民
陈纪修
杨宗信
机构：
[1] School of Mathematics
[2] Peking University
[3] Beijing
[4] China
[5] Department of Mathematics
[6] Fudan University
[7] Shanghai
[8] Institute of Matnematics
[9] Shanghai
来源：
Science in China,SerA. | 2003年 / Ser.A.2003卷 / 04期
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摘要：
<正> The properties of the extremal sets of extremal quasiconformal mappings are discussed. It is proved that if an extremal Beltrami coefficient μ(z) is not uniquely extremal, then there exists an extremal Beltrami coefficient v(z) in its equivalent class and a compact subset E Δ with positive measure such that the essential upper bound of v(z) on E is less than the norm of [μ].
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页码：552 / 561
页数：10
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