论文标题

映射的尖锐刻度收缩,具有可整合失真,这是磁盘中的准信息

Sharp Pointwise Contraction of Mappings with Integrable Distortion Which Are Quasiconformal in a Disk

论文作者

Hirviniemi, Olli, Hitruhin, Lauri

论文摘要

我们考虑具有$ p $积分失真的平面扩展名的单位磁盘的准表面映射。在本文中,我们建立了用于反向映射的连续性模量的结合,并显示了该结合的清晰度。此外,我们还获得了此类映射的压缩多重型光谱的边界。

We consider quasiconformal mappings of the unit disk that have a planar extension which have $p$-integrable distortion. In this paper, we establish a bound for the modulus of continuity for the inverse mapping and show sharpness of this bound. Furthermore, we also obtain bounds for the compression multifractal spectra of such mappings.

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