论文标题
关于加权索波列夫同构的规律性
On regularity of weighted Sobolev homeomorphisms
论文作者
论文摘要
我们研究了与加权Sobolev同态近来的映射的较弱的规律性$φ：ω\ to \widetildeΩ$，其中$ω$和$ \ \widetildeΩ$是$ \ Mathbb r^n $中的域。使用反映射的弱规则性，我们获得了加权Sobolev空间上组成算子的组成二重性特性。
We study the weak regularity of mappings inverse to weighted Sobolev homeomorphisms $φ:Ω\to\widetildeΩ$, where $Ω$ and $\widetildeΩ$ are domains in $\mathbb R^n$. Using the weak regularity of inverse mappings we obtain the composition duality property of composition operators on weighted Sobolev spaces.
