Product-Type Operators from Hardy Spaces to Bloch-Type Spaces and Zygmund-Type Spaces. (27th July 2022)

• Record Type: Journal Article
• Authors: Guo, Zhitao; Liu, Linlin
• Is Part Of: Numerical functional analysis and optimization. Volume 43:Number 10(2022)
• Page Start: 1240
• Page End: 1264
• Publication Date: 2022-07-27
• Subjects: Bloch-type space -- boundedness -- compactness -- Hardy space -- product-type operator -- Zygmund-type space; Primary 47B38 -- secondary 30H10 -- 30H30 -- 30H40; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2022.2097693
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: The boundedness and compactness of a class of product-type operators T ψ 1, ψ 2, φ n from Hardy spaces to (little) Bloch-type space and (little) Zygmund-type space are characterized in this article. Meanwhile, we also estimate the norm of T ψ 1, ψ 2, φ n .