Difference of Differentiation Composition Operators on the Fractional Cauchy Transforms Spaces. (10th September 2018)

• Record Type: Journal Article
• Authors: Wang, Maofa; Guo, Xin
• Is Part Of: Numerical functional analysis and optimization. Volume 39:Number 12(2018)
• Page Start: 1291
• Page End: 1315
• Publication Date: 2018-09-10
• Subjects: Bloch-type space -- difference of differentiation composition operator -- fractional Cauchy transforms space -- weighted Dirichlet space; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2018.1477798
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: In this paper, we consider the boundedness and compactness of the differences of differentiation composition operators from the space of fractional Cauchy transforms to the Bloch-type spaces and the weighted Dirichlet spaces. Surprisingly, these characterizations are free from pseudo-hyperbolic metric, which is a common feature of all the preceding characterizations of difference of differentiation composition operators on various spaces of holomorphic functions.