论文标题
对数支架连续映射和Beltrami方程
Logarithmic Holder continuous mappings and Beltrami equation
论文作者
论文摘要
该论文专门研究满足逆Poletky不平等的映射。我们研究了这些映射的局部行为，此外，当相应的专业人士在某些阳性线性度量的一组领域中可以集成在一起时，我们最感兴趣。最重要的结果是这种映射在内点的对数Hölder连续性。作为推论，我们获得了Beltrami方程的连续$ acl $ solution，这是对数Hölder连续的。
The paper is devoted to the study of mappings satisfying the inverse Poletsky inequality. We study the local behavior of these mappings, moreover, we are most interested in the case when the corresponding majorant is integrable on some set of spheres of positive linear measure. The most important result is a logarithmic Hölder continuity of such mappings at inner points. As a corollary, we obtained the existence of a continuous $ACL$-solution of the Beltrami equation, which is logarithmic Hölder continuous.
