关于域上和边界上映射的Hölder连续性
On Hölder continuity of mappings in domains and on boundaries
摘要：
本文研究了欧几里得空间的整环上具有分支的映射。在给定的区域上，对一类特征满足Dini型条件的空间映射建立了Hölder连续性和Lipschitz连续性.此外，我们还得到了单位圆盘上退化Beltrami方程的广义同胚解在边界点处Hölder连续的复系数条件.
英文摘要：
We study mappings with branching of a domain of Euclidean space. The Hölder and Lipschitz continuity are established for one class of spatial mappings whose characteristic satisfies the Dini type condition in a given domain. In addition, we found conditions on the complex coefficient of the degenerate Beltrami equations in the unit disk under which generalized homeomorphic solutions of this equation are Hölder continuous at the points of the boundary.
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