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Publication date

2022-05-25

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cc by (c) Albert Clop et al., 2022
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/217437

Rotation Bounds for Hölder Continuous Homeomorphisms with Integrable Distortion

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https://doi.org/10.1007/s12220-022-00950-y

Abstract

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.

Subject

Teoria geomètrica de funcions, Funcions de variables complexes, Desigualtats (Matemàtica)

Subject (English)

Geometric function theory, Functions of complex variables, Inequalities (Mathematics)

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Articles publicats en revistes (Matemàtiques i Informàtica)

Citation

CLOP, Albert, HITRUHIN, Lauri and SENGUPTA, Banhirup. Rotation Bounds for Hölder Continuous Homeomorphisms with Integrable Distortion. Journal of Geometric Analysis. 2022. Vol. 32, num. 8. ISSN 1050-6926. [consulted: 12 of June of 2026]. Available at: https://hdl.handle.net/2445/217437

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