Rotation Bounds for Hölder Continuous Homeomorphisms with Integrable Distortion
We obtain sharp rotation bounds for the subclass of homeomorphisms $f: \mathbb{C} \rightarrow \mathbb{C}$ of finite distortion which have distortion function in $L_{l o c}^p, p>1$, and for which a Hölder continuous inverse is available. The interest in this class is partially motivated by example...
| Authors: | , , |
|---|---|
| Format: | article |
| Status: | Published version |
| Publication Date: | 2022 |
| Country: | España |
| Institution: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repository: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2445/217437 |
| Online Access: | https://hdl.handle.net/2445/217437 |
| Access Level: | Open access |
| Keyword: | Teoria geomètrica de funcions Funcions de variables complexes Desigualtats (Matemàtica) Geometric function theory Functions of complex variables Inequalities (Mathematics) |
| Summary: | We obtain sharp rotation bounds for the subclass of homeomorphisms $f: \mathbb{C} \rightarrow \mathbb{C}$ of finite distortion which have distortion function in $L_{l o c}^p, p>1$, 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. |
|---|