Positive Toepltz operators on the Bergman space of a minimal bounded homogeneous domain

2010/10/21 by Satoshi Yamaji, Yamaji, Satoshi
Mathematics · #32A25 #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.1010.4368

openalex publication_date 2010/10/21 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

Necessary and sufficient conditions for positive Toeplitz operators on the Bergman space of a minimal bounded homogeneous domain to be bounded or compact are described in terms of the Berezin transform, the averaging function and the Carleson property.

Citations

• Some estimates of the Bergman kernel of minimal bounded homogeneous domains

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