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

Shammaky, A. E.; Bakhit, M. A.

Research Article

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

A. E. Shammaky¹*
M. A. Bakhit¹

Department of Mathematics, Faculty of Science, Jazan university, Jazan, Saudi Arabia

* Corresponding author

Abstract

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.

How to Cite

A. E. Shammaky, M. A. Bakhit, Properties of Weighted Composition Operators on Some Weighted Holomorphic Function Classes in the Unit Ball, Int. J. Anal. Appl. 12 (2016), 87–97.

BibTeX

@article{Shammaky2016,
  author  = {Shammaky, A. E. and Bakhit, M. A.},
  title   = {Properties of Weighted Composition Operators on Some Weighted Holomorphic Function Classes in the Unit Ball},
  journal = {Int. J. Anal. Appl.},
  volume  = {12},
  year    = {2016},
  pages   = {87--97},
  doi     = {}
}

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