Essential norm estimates for positive Toeplitz operators on the weighted Bergman space of a minimal bounded homogeneous domain

2011/09/21 by Satohi Yamaji, Yamaji, Satohi · 1 citation
Mathematics · #32A25 #47B35 #Advanced Harmonic Analysis Research #Algebraic and Geometric Analysis #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #math.FA #msc:32A25 #msc:47B35

paper · pdf · doi:10.48550/arxiv.1109.4500

11 pages

arxiv created 2011/09/21 · openalex publication_date 2011/09/21 · arxiv updated 2011/09/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give estimates for the essential norms of a positive Toeplitz operator on the Bergman space of a minimal bounded homogeneous domain in terms of the Berezin transform or the averaging function of the symbol. Using these estimates, we also give necessary and sufficient conditions for the positive Toeplitz operators to be compact.

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• On some new embeddings in minimal bounded homogeneous domains in Cⁿ

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