Products of Toeplitz and Hankel Operators on Fock-Sobolev Spaces

2021/07/29 by Yiyuan Zhang, Zhang, Yiyuan, Guangfu Cao +3
Mathematics · #47B35 #Algebraic and Geometric Analysis #Analytic and geometric function theory #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2107.13688

openalex publication_date 2021/07/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we investigate the boundedness of Toeplitz product T_fT_g and Hankel product H_f^* H_g on Fock-Sobolev space for two polynomials f and g in z,z∈ℂⁿ. As a result, the boundedness of Toeplitz operator T_f and Hankel operator H_f with the polynomial symbol f in z,z∈ℂⁿ is characterized.

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