Toeplitz operators on weighted Bergman spaces induced by a class of radial weights

2020/02/17 by Yongjiang Duan, Duan, Yongjiang, Kunyu Guo +5
Mathematics · #Advanced Harmonic Analysis Research #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2002.06771

openalex publication_date 2020/02/17 · openalex created_date 2022/10/27 · openalex updated_date 2026/07/28

Abstract

Suppose that ω is a radial weight on the unit disk that satisfies both forward and reverse doubling conditions. Using Carleson measures and T1-type conditions, we obtain necessary and sufficient conditions of the positive Borel measure μ such that the Toeplitz operator T_μ,ω:L^p_a(ω)→ L_a¹(ω) is bounded and compact for 0

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