2023/12/04 by Molla Basir Ahamed, Vasudevarao Allu, Ahamed, Molla Basir +3
Mathematics · #47B02 Secondary 47A05 #47B15 #Advanced Harmonic Analysis Research #Algebraic and Geometric Analysis #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Primary 47B33
paper · pdf · doi:10.48550/arxiv.2312.01615
openalex publication_date 2023/12/04 · openalex created_date 2023/12/06 · openalex updated_date 2026/07/28
In this paper, we explore the complex symmetrical characteristics of weighted composition operators Wu, v and weighted composition-differentiation operators Wu, v, k1, k2, …, kn on the Hardy space H2(\mathbbDn) over the Polydisk \mathbbDn, with respect to the standard conjugation J. We specify explicit conditions that confirm the Hermitian characteristics of the operator Wu, v, k1, k2, …, kn and describe the conditions necessary for it to exhibit normal behavior. Additionally, we identify the kernels of the generalized weighted composition-differentiation operators and their corresponding adjoint operators.