Norm estimates for the Bergman and Cauchy-Szegö projections over the Siegel upper half-space

2017/01/08 by Congwen Liu, Liu, Congwen
Mathematics · #30E20 #47G10 #Advanced Harmonic Analysis Research #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Primary 32A35 #Secondary 32A26

paper · pdf · doi:10.48550/arxiv.1701.01979

openalex publication_date 2017/01/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We obtain several estimates for the L^p operator norms of the Bergman and Cauchy-Szegö projections over the the Siegel upper half-space. As a by-product, we also determine the precise value of the L^p operator norm of a family of integral operators over the Siegel upper half-space.

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