# Rotational properties of homeomorphisms with integrable distortion

@article{Hitruhin2018RotationalPO, title={Rotational properties of homeomorphisms with integrable distortion}, author={Lauri Hitruhin}, journal={Conformal Geometry and Dynamics of the American Mathematical Society}, year={2018} }

We establish a modulus inequality, with weak assumptions on the Sobolev regularity, for homeomorphisms with integrable distortion. As an application, we find upper bounds for the pointwise rotation of planar homeomorphisms with
p
p
-integrable distortion. When the mapping is entire we bound the local pointwise rotation and when the mapping is restricted to a bounded convex domain
Ω
⊂
C
\Omega \subset \mathbb {C}
we concentrate on the rotation along the boundary…

## 6 Citations

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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 Holder…

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