Hankel operators on vector-valued Bergman spaces with exponential weights

2023/03/27 by Jianxiang Dong, Dong, Jian-xiang, Yufeng Lu +1
Mathematics · #32A36 #47B35 #Algebraic and Geometric Analysis #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2303.15004

openalex publication_date 2023/03/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let H be a separable Hilbert space and let A²_φ(H) be the H-valued Bergman spaces with exponential weights. In the present paper, we give the complete characterizations for the boundedness and compactness of Hankel operators on A²_φ(H). For p≥2, the Schatten p-classes of the Hankel operator with conjugate analytic symbols are studied.

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