Big Hankel operators on Hardy spaces of strongly pseudoconvex domains

2021/02/08 by Bo-Yong Chen, Chen, Bo-Yong, Liangying Jiang +1
Mathematics · #Advanced Harmonic Analysis Research #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2102.03999

openalex publication_date 2021/02/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article, we investigate the (big) Hankel operators H_f on Hardy spaces of strongly pseudoconvex domains with smooth boundaries in ℂⁿ. We also give a necessary and sufficient condition for boundedness of the Hankel operator H_f on the Hardy space of the unit disc, which is new in the setting of one variable.

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