BMO and injectivity of space quasiregular mappings

被引：0
|
作者：
Martio, O
Ryazanov, V
Vuorinen, M
机构：
[1] Univ Helsinki, Dept Math, FIN-00014 Helsinki, Finland
[2] Natl Acad Sci Ukraine, Inst Appl Math & Mech, UA-340114 Donetsk, Ukraine
来源：
MATHEMATISCHE NACHRICHTEN | 1999年 / 205卷
关键词：
BMO; VMO; quasiregular mappings; local injectivity; invertibility;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
it is shown that if the dilatation tensor G(f) of a space quasiregular mapping f belongs to the space VMO (vanishing mean oscillation), then f is a local homeomorphism. The same is true if the BMO-norm of G(f) is small or if G(f) is only close to the VMO space in the BMO-norm.
引用
收藏
页码：149 / 161
页数：13
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