Boundary correspondence under harmonic quasiconformal homeomorphisms of the unit disk

被引：0
|
作者：
Pavlovic, M [1 ]
机构：
[1] Univ Belgrade, Matemat Fak, YU-11001 Belgrade, Serbia, Yugoslavia
来源：
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2002年 / 27卷 / 02期
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D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let f be a harmonic homeomorphism of the unit disk onto itself. The following conditions are equivalent: (a) f is quasiconformal; (b) f is bi-Lipschitz in the Euclidean metric; (c) the boundary function is bi-Lipschitz and the Hilbert transformation of its derivative is in L-infinity.
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页码：365 / 372
页数：8
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