Properties of Weighted Composition Operators on Some Weighted Holomorphic Function Classes in the Unit Ball

In this paper, we introduce NK-type spaces of holomorphic functions in the unit ball of C n by the help of a non-decreasing function K: (0,∞) → [0,∞). Several important properties of these spaces in the unit ball are provided. The results are applied to characterize boundedness and compactness of we...

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Bibliographic Details
Main Authors: A. E. Shammaky, M. A. Bakhit
Format: Article
Language:English
Published: Etamaths Publishing 2016-10-01
Series:International Journal of Analysis and Applications
Online Access:http://etamaths.com/index.php/ijaa/article/view/786
Description
Summary:In this paper, we introduce NK-type spaces of holomorphic functions in the unit ball of C n by the help of a non-decreasing function K: (0,∞) → [0,∞). Several important properties of these spaces in the unit ball are provided. The results are applied to characterize boundedness and compactness of weighted composition operators Wu,φ from NK (B) spaces into Beurling-type classes. We also find the essential norm estimates for Wu,φ from NK(B) spaces into Beurling-type classes.
ISSN:2291-8639