Uniform domains on holomorphic curves

DOI10.1080/17476933.2014.991392zbMath1329.30013OpenAlexW2003179270MaRDI QIDQ5264635

Hugo Arbeláez, Willy Sierra, Martin Chuaqui Farrú

Publication date: 27 July 2015

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2014.991392

zbMATH Keywords

Schwarzian derivativeunivalenceholomorphic curvesquasiconformal mapsharmonic functionsquasidisk

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Geometric function theory (30C99) Quasiconformal mappings in the complex plane (30C62) General theory of univalent and multivalent functions of one complex variable (30C55)

Cites Work

• Injectivity criteria for holomorphic curves in \(\mathbb{C}^n\)
• On the Nehari univalence criterion and quasicircles
• Univalence criteria for lifts of harmonic mappings to minimal surfaces
• Uniform domains and the quasi-hyperbolic metric
• Ahlfors-Weill extensions of conformal mappings and critical points of the Poincaré metric
• John surfaces associated with a class of harmonic mappings
• Sharp Distortion Theorems Associated with the Schwarzian Derivative
• Simple curves in $\mathbb {R}^n$ and Ahlfors’ Schwarzian derivative

This page was built for publication: Uniform domains on holomorphic curves