Integral Representations in Weighted Bergman Spaces on the Tube Domains

2020/09/07 by Yun Huang, Huang, Yun, Guantie Deng +3
Mathematics · #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2009.02982

openalex publication_date 2020/09/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

Herein, the Laplace transform representations for functions of weighted holomorphic Bergman spaces on the tube domains are developed. Then a weighted version of the edge-of-the-wedge theorem is derived as a byproduct of the main results.

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