Lipschitz Property of Harmonic Mappings with Respect to Pseudo-Hyperbolic Metric

Lipschitz Property of Harmonic Mappings with Respect to Pseudo-Hyperbolic Metric

In this paper, we show that harmonic Bloch mappings are Lipschitz continuous with respect to the pseudo-hyperbolic metric. This result improves the corresponding result of [11, Theorem 1]. Furthermore, we prove the similar property for harmonic quasiregular Bloch-type mappings.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Analysis mathematica (Budapest) 2022-12, Vol.48 (4), p.1069-1080
Hauptverfasser: Huang, J., Rasila, A., Zhu, J.-F.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Mathematics
Mathematics and Statistics
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper, we show that harmonic Bloch mappings are Lipschitz continuous with respect to the pseudo-hyperbolic metric. This result improves the corresponding result of [11, Theorem 1]. Furthermore, we prove the similar property for harmonic quasiregular Bloch-type mappings.
ISSN:0133-3852
1588-273X
DOI:10.1007/s10476-022-0132-z