Jian-Xiang Dong

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math.FA2026

Absolutely summing operators on Bergman spaces over convex domains of finite type

Dong Jianxiang, Xu Chunxu

Let $Ω \subset C^{n}$ be a smoothly bounded convex domain of finite type. We characterize absolute summability on its Bergman spaces and estimate approximation errors in the su…

math.FA2023

Hankel operators on vector-valued Bergman spaces with exponential weights

Jian-xiang Dong, Yu-feng Lu

Let $H$ be a separable Hilbert space and let $A_{φ}^{2} (H)$ be the $H$ -valued Bergman spaces with exponential weights. In the present paper, we give the…