Homeomorphisms of Bounded Variation

被引：0
|
作者：
Stanislav Hencl
Pekka Koskela
Jani Onninen
机构：
[1] University of Jyväskylä,Department of Mathematics and Statistics
[2] Syracuse University,Department of Mathematics
来源：
Archive for Rational Mechanics and Analysis | 2007年 / 186卷
关键词：
Radon; Bounded Variation; Radon Measure; Lorentz Space; Sobolev Class;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We show that the inverse of a planar homeomorphism of bounded variation is also of bounded variation. In higher dimensions we show that f−1 is of bounded variation provided that f ϵ W1,1(Ω; Rn) is a homeomorphism with |Df| in the Lorentz space Ln-1,1(Ω).
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页码：351 / 360
页数：9
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