论文标题
有限失真的平面图的局部规律性
Localized Regularity of Planar Maps of Finite Distortion
论文作者
论文摘要
在本文中，我们研究了有限失真映射的良好规律性特性。我们的主要定理产生了强烈的局部规律性导致在呈指数型失真的地图类别的边界情况下。这种结果的类似物是在准文献映射的情况下以前知道的。此外，我们研究了畸变具有较高指数集成性的地图的规律性。
In this article we study fine regularity properties for mappings of finite distortion. Our main theorems yield strongly localized regularity results in the borderline case in the class of maps of exponentially integrable distortion. Analogues of such results were known earlier in the case of quasiconformal mappings. Moreover, we study regularity for maps whose distortion has higher exponential integrability.
