重排不变空间中平面Sobolev同胚的超纯逼近
Diffeomorphic approximation of Planar Sobolev Homeomorphisms in rearrangement invariant spaces
摘要：
设$Ω\subseteq\mathcal{R}^2$是整环，$X$是重排不变空间，$f\in W^{1}X(Ω,\mathcal{R}^2)$是$Ω$和$f(Ω)$之间的同胚.则在空间$W^{1}X(Ω,\mathcal{R}^2)$中存在一个收敛到$f$的同构序列$f_k$.
英文摘要：
Let $Ω\subseteq\mathcal{R}^2$ be a domain, let $X$ be a rearrangement invariant space and let $f\in W^{1}X(Ω,\mathcal{R}^2)$ be a homeomorphism between $Ω$ and $f(Ω)$. Then there exists a sequence of diffeomorphisms $f_k$ converging to $f$ in the space $W^{1}X(Ω,\mathcal{R}^2)$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
