论文标题

在边界上映射的对数持有器连续性

On logarithmic Holder continuity of mappings on the boundary

论文作者

Sevost'yanov, E. A.

论文摘要

我们研究满足所谓的逆Poletky不平等的映射。在相应的专业人士的整合性下,证明这些映射在边界点附近是对数Hölder的连续。特别是,所指示的特性对于同态构态性具有逆向加权的波雷斯基不平等。

We study mappings satisfying the so-called inverse Poletsky inequality. Under integrability of the corresponding majorant, it is proved that these mappings are logarithmic Hölder continuous in the neighborhood of the boundary points. In particular, the indicated properties hold for homeomorphisms whose inverse satisfy the weighted Poletsky inequality.

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