QUASICONFORMALITY OF HARMONIC MAPPINGS BETWEEN JORDAN DOMAINS

QUASICONFORMALITY OF HARMONIC MAPPINGS BETWEEN JORDAN DOMAINS

Suppose that h is a harmonic mapping of the unit disc onto a C1, αdomain D. We give sufficient and necessary conditions in terms of boundary function that h is q.c. We announce some new results and also outline application to existence problem of mean distortion minimizers in the Universal Teichmüll...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Filomat 2010-09, Vol.24 (3), p.111-124
Hauptverfasser: Mateljevic, Miodrag, Bozin, Vladimir, Knezevic, Miljan
Format: Artikel
Sprache:eng
Schlagworte:
Analytic functions
Harmonic functions
Homeomorphism
Lebesgue measures
Mathematical functions
Mathematical notation
Parameterization
Partial derivatives
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:Suppose that h is a harmonic mapping of the unit disc onto a C1, αdomain D. We give sufficient and necessary conditions in terms of boundary function that h is q.c. We announce some new results and also outline application to existence problem of mean distortion minimizers in the Universal Teichmüller space.
ISSN:0354-5180
2406-0933
DOI:10.2298/FIL1003111M