Treffer: On boundary correspondence under quasiconformal mappings

Title:
On boundary correspondence under quasiconformal mappings
Authors:
Gutlyanskij, V. Ya., Ryazanov, V. I.
Source:
Annales Fennici Mathematici; Vol. 21 No. 1 (1996): Volume 21, 1996; 167-178
Annales Fennici Mathematici; Vol 21 Nro 1 (1996): Volume 21, 1996; 167-178
Publisher Information:
The Finnish Mathematical Society, 1996.
Publication Year:
1996
Subject Terms:
complex dilatation, General theory of univalent and multivalent functions of one complex variable, Quasiconformal mappings in the complex plane
Document Type:
Fachzeitschrift Article
File Description:
application/pdf; application/xml
Language:
English
Access URL:
https://afm.journal.fi/article/view/134860
https://zbmath.org/902762
Rights:
CC BY
Accession Number:
edsair.dedup.wf.002..085b09851fc7a92dbeada4b996c902cf
Database:
OpenAIRE

Weitere Informationen

Summary: We study boundary properties of quasiconformal self-mappings depending on complex dilatations. We give some new conditions for the corresponding quasisymmetric function to be asymptotically symmetric and obtain an explicit asymptotical representation for the distortion ratio of boundary correspondence when the complex dilatation has directional limits.