On the Hayman-Wu theorem for quasilines

• Date: 1996
• Main Authors: Maimeskul, V. V., Маймескул, В. В.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1996
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5286
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For a function ω, we establish a condition sufficient for the sum ∑i, ω(diam φ(L i )) to be finite for any quasiconformal curve L i , simply connected domain Ω, and a function φ which conformally and univalently maps this domain onto the unit disk. Here, L i denote the components of Ω∩L....