On Stević-Sharma Operators from General Class of Analytic Function Spaces into Zygmund-Type Spaces. (1st July 2022)

• Record Type: Journal Article
• Authors: Bakhit, M. A.; Kamal, A.
• Other Names: Xu Jingshi Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2022(2022)
• Publication Date: 2022-07-01
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2022/6467750
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : A Stevic ′ -Sharma operator denoted by T ψ 1, ψ 2, φ is a generalization product of multiplication, differentiation, and composition operators. In this paper, we characterize the bounded and compact Stevic ′ -Sharma operator T ψ 1, ψ 2, φ from a general class X of Banach function spaces into Zygmund-type spaces with some of the most convenient test functions on the open unit disk. Using several restrictive terms, we show that all bounded operators T ψ 1, ψ 2, φ from X into the little Zygmund-type spaces are compact. As an application, we show that our results hold up for some other domain spaces of T ψ 1, ψ 2, φ, such as the Hardy space and the weighted Bergman space.