BMO and Hankel operators on Bergman space of the Siegel upper half-space

2021/09/03 by Jiajia Si, Si, Jiajia
Mathematics · #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Primary 47B35 #Secondary 32A36 #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2109.01320

openalex publication_date 2021/09/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

On the setting of the Siegel upper half-space we study the spaces of bounded and vanishing mean oscillations which are defined in terms of the Berezin transform, and we use them to characterize bounded and compact Hankel operators on Bergman space.

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