### Abstract

For a subdomain Ω of the right half-plane H; Chuaqui and Gevirtz showed the following theorem: the image f(D) of the unit disk D under an analytic function f on D is a quasidisk whenever f″(D) ⊂ Ω if and only if there exists a compact subset K of H such that sK ∩ (H \ Ω) ≠ φ for any positive number s: We show that this condition is equivalent to the inequality W(Ω) < 2; where W(Ω) stands for the circular width of the domain Ω.

Original language | English |
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Pages (from-to) | 273-279 |

Number of pages | 7 |

Journal | Annales Academiae Scientiarum Fennicae Mathematica |

Volume | 33 |

Publication status | Published - 2008 Dec 1 |

Externally published | Yes |

### Keywords

- Noshiro-Warschawski theorem
- Pre-Schwarzian derivative
- Quasidisk

### ASJC Scopus subject areas

- Mathematics(all)

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## Cite this

Kim, Y. C., & Sugawa, T. (2008). A note on a theorem of Chuaqui and Gevirtz.

*Annales Academiae Scientiarum Fennicae Mathematica*,*33*, 273-279.