A short proof of the self-improving regularity of quasiregular mappings

Faraco D; Zhong X

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A short proof of the self-improving regularity of quasiregular mappings

机译：拟正则映射的自我改进正则性的简短证明

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摘要

We provide a short proof of a theorem, due to Iwaniec and Martin (1993) and Iwaniec (1992), on the self-improving integrability of quasiregular mappings.

机译：由于Iwaniec和Martin（1993）和Iwaniec（1992），我们提供了关于准正则映射的自改进可积性的一个定理的简短证明。

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来源
《Proceedings of the American Mathematical Society》 |2006年第1期|共6页
作者
Faraco D; Zhong X;
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正文语种 eng
中图分类数学;
关键词
quasiregular mappings; regularity; Lipschitz approximation; NONLINEAR ELLIPTIC-SYSTEMS; DISTORTION;

机译：拟正则映射;正则性;Lipschitz逼近;非线性椭圆系统;畸变;

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专利

1. A short proof of the self-improving regularity of quasiregular mappings [J] . Faraco D, Zhong X Proceedings of the American Mathematical Society . 2006,第1期

机译：拟正则映射的自我改进正则性的简短证明
2. Regularity for weakly (K_1, K_2)-quasiregular mappings [J] . GAO Hongya Science in China. Series A, Mathematics, physics, astronomy . 2003,第4期

机译：弱（K_1，K_2）-准正则映射的正则性
3. A SHORT PROOF OF LOCAL REGULARITY OF DISTRIBUTIONAL SOLUTIONS OF POISSON'S EQUATION [J] . Di Fratta Giovanni, Fiorenza Alberto Proceedings of the American Mathematical Society . 2020,第5期

机译：泊松等式分布解决方案的局部规律性的简短证据
4. Extremal Bounds of Teichmüller-Wittich-Belinski? Type for Planar Quasiregular Mappings [C] . Anatoly Golberg International Conference "New Trends in Approximation Theory" . 2018

机译：Teichmüller-wittich-belinski的极值界限？用于平面的Quasiregular映射
5. On Uniformly Quasiregular Solutions to the Schr?der Functional Equation and Strongly Automorphic Mappings [D] . MacClure, Douglas Malcolm. 2018

机译：在SCHR的均匀QuasiRegular解决方案上，函数方程和强烈的自同网映射
6. New construction and proof techniques of projection algorithm for countable maximal monotone mappings and weakly relatively non-expansive mappings in a Banach space [O] . Li Wei, Ravi P. Agarwal -1

机译：Banach空间中可数最大单调映射和弱相对非扩展映射的投影算法的新构造和证明技术
7. A short proof of the self-improving regularity of quasiregular mappings [O] . Daniel Faraco, Xiao Zhong 2005

机译：简短证明正规映射的自我改善规律性
8. Examples of Uniformly Quasiregular Mappings [R] . Peltonen, K. 1999

机译：一致拟正则映射的例子

A short proof of the self-improving regularity of quasiregular mappings

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