Composition Operators From Harmonic Lipschitz Space Into Weighted Harmonic Zygmund Space

The paper investigate a necessary and sufficient condition for the composition operator from harmonic Lipschitz spaces LipHα, (0<α<1) into weighted harmonic Zygmund spaces ZHβ, (0<β<∞) to be bounded and compact on the open unit disk. As an application, it estimates the essential norms of...

Full description

Bibliographic Details
Main Authors: M. A. Bakhit, N. M. Dahshan, Ranya Tahier, Omniat O. Y. Karrar, Mehreen S. Khan, M. A. Orsud
Format: Article
Language:English
Published: Etamaths Publishing 2023-11-01
Series:International Journal of Analysis and Applications
Online Access:http://etamaths.com/index.php/ijaa/article/view/785
Description
Summary:The paper investigate a necessary and sufficient condition for the composition operator from harmonic Lipschitz spaces LipHα, (0<α<1) into weighted harmonic Zygmund spaces ZHβ, (0<β<∞) to be bounded and compact on the open unit disk. As an application, it estimates the essential norms of such an operator from LipHα into ZHβ spaces.
ISSN:2291-8639