论文标题

关于弱$(p,q)$ - 准文献映射的边界行为

On the boundary behavior of weak $(p,q)$-quasiconformal mappings

论文作者

Gol'dshtein, Vladimir, Sevost'yanov, Evgeny, Ukhlov, Alexander

论文摘要

令$ω$和$ \widetildeΩ$为欧几里得空间中的域$ \ mathbb r^n $。我们研究弱$(p,q)$ - 准文字映射的边界行为,$φ:ω\ to \widetildeΩ$,$ n-1 <q \ leq p <n $。建议的方法基于弱$(p,q)$ - 准文献映射的电容性失真属性。

Let $Ω$ and $\widetildeΩ$ be domains in the Euclidean space $\mathbb R^n$. We study the boundary behavior of weak $(p,q)$-quasiconformal mappings, $φ:Ω\to \widetildeΩ$, $n-1<q\leq p<n$. The suggested method is based on the capacitary distortion properties of the weak $(p,q)$-quasiconformal mappings.

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