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Essential Norms of difference of generalized composition Operators from α-Bloch spaces to β-Bloch spaces

2020/04/03 by Ning Xu, Xu Ning, Xu, Ning +3
Mathematics · #Advanced Topics in Algebra #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #math.CV

paper · pdf · doi:10.48550/arxiv.2004.01350

arxiv created 2020/04/03 · openalex publication_date 2020/04/03 · arxiv updated 2020/04/06 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

In this paper, we study the boundedness and essential norms of the differences of two generalized composition operators acting from α-Bloch space to β-Bloch space on the open unit disk. From essential norms, we get the compactness of the differences of two generalized composition operators. This study has a relationship to the topological structure of generalized composition operators acting from α-Bloch space to β-Bloch space.

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