On the curved wedge condition and the continuity moduli of conformal mappings

• Date: 1993
• Main Authors: Bely, V. I., Pritsker, I. E., Белый, В. И., Прицкер, И. Е.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1993
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5865
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

A Jordan curve $L$ is studied, which satisfies an interior or exterior wedge condition for wedges of various geometric forms. We obtain estimates of the continuity moduli for the conformal mappings of the exterior (interior) of $L$ onto the exterior (interior) of the unit disk.