2019/01/03 by Hang Zhou, Zhou, Hang, Ze‐Hua Zhou +1
Mathematics · #47A16 #47B33 #47B37 #47B38 #Advanced Topics in Algebra #Algebraic and Geometric Analysis #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory
paper · pdf · doi:10.48550/arxiv.1901.00601
openalex publication_date 2019/01/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we investigate the normal weighed composition operators Wψ,φ which is J-symmetric, C1-symmetric and C2-symmetric on the Hardy space H2(\mathbbD) respectively. Firstly, equivalent conditions of the normality of C1-symmetric and C2-symmetric weighted composition operators on H2(\mathbbD) is given. Furthermore, the normal J-symmetric, C1-symmetric and C2-symmetric weighted composition operators on H2(\mathbbD) when φ has an interior fixed point, φ is of hyperbolic type or parabolic type are respectively investigated.