具有可积畸变的Hölder连续同胚的旋转界
Rotation bounds for Hölder continuous homeomorphisms with integrable distortion
摘要：
我们得到了有限畸变同胚$f:\mathbb{C}\to\mathbb{C}$的子类的尖锐的旋转界，这些同胚的畸变函数在$L^p_{loc}$，$p>1$中，并且对于这些同胚的Hölder连续逆是可用的。对这门课的兴趣部分来自于流体力学的例子。我们的旋转界限，从而提高了现有的，其中Hölder连续性不假设。我们还提出了证明锋利的例子。
英文摘要：
We obtain sharp rotation bounds for the subclass of homeomorphisms $f:\mathbb{C}\to\mathbb{C}$ of finite distortion which have distortion function in $L^p_{loc}$, $p>1$, and for which a Hölder continuous inverse is available. The interest in this class is partially motivated by examples arising from fluid mechanics. Our rotation bounds hereby presented improve the existing ones, for which the Hölder continuity is not assumed. We also present examples proving sharpness.
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