Toeplitz Operators with Positive Measures on Harmonic Fock Spaces

2024/10/09 by Xue Gou, Xin Hu, Gou, Xue +3
Mathematics · #47B10 #47B35 #Advanced Harmonic Analysis Research #Algebraic and Geometric Analysis #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2410.06538

openalex publication_date 2024/10/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we study the basic properties of Toeplitz Operators with positive measures μ on harmonic Fock spaces. We prove equivalent conditions for boundedness, compactness and Schatten classes S_p of T_μ by using the methods of Berezin transform of operators.

Related

• Toeplitz Operators on Fock Space F_α^∞
• Toeplitz operators on doubling Fock spaces
• Toeplitz operators on Fock-Sobolev type spaces
• On Toeplitz operators between Fock spaces
• Schatten class Toeplitz operators on generalized Fock spaces