Complex symmetric weighted Composition Differentiation Operators

2020/11/16 by Jun‐Ming Liu, Liu, Junming, Saminathan Ponnusamy +3
Mathematics · #Advanced Harmonic Analysis Research #Differential Equations and Boundary Problems #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2011.08012

openalex publication_date 2020/11/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note, we completely characterize complex symmetric weighted composition differentiation operator on the Hardy space H² with respect to the conjugation operator C_λ,α. Meanwhile, the normal and self-adjoint of the weighted composition differentiation operators on the Hardy space H² are also studied. This note could be considered as a continuation of the work initiated by Fatehi and Hammond.

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