论文标题
关于Martio的猜想的评论
Remarks on Martio's conjecture
论文作者
论文摘要
我们引入了雅各布决定因素的倒数的一定的可集成性条件，该条件保证了静态映射的局部同构特性，并且内部扩张较小。在平面案例中，这种情况很敏锐。我们还表明，带有较小内部扩张的环形映射的每个分支点是映射的差分矩阵的一个lebesgue点。
We introduce a certain integrability condition for the reciprocal of the Jacobian determinant which guarantees the local homeomorphism property of quasiregular mappings with a small inner dilatation. This condition turns out to be sharp in the planar case. We also show that every branch point of a quasiregular mapping with a small inner dilatation is a Lebesgue point of the differential matrix of the mapping.
