Author

Xiao-Feng Wang

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Preprint Sep 2026

Bergman Kernels and Hankel Operators on Weighted Fock Spaces in Several Complex Variables

We introduce a class of plurisubharmonic weights on \mathbb C^n and develop a theory of the associated weighted Fock spaces F_\varphi^p. The curvature assumptions are imposed on a \mathcal C^2-regularization at bounded distance from the original weight. Thus the original weight need not be smooth or strictly plurisubha...

Gui-Jun Liu, Xiao-Feng Wang, Zhi-Cheng Zeng · 0 citations

Preprint Sep 2026

Closed Range and Essential Norms of Composition Operators on Weighted Dirichlet Spaces

We study closed range and essential norms of bounded composition operators $C_\varphi$ on weighted Dirichlet spaces $\mathcal{D}_{\alpha}$. For $-1<\alpha<0$, we first consider maps whose images are obtained by removing a compact subset from a simply connected subdomain of $\mathbb{D}$. In this setting, closed range is...

Cai-Xing Gu, Li He, Xiao-Feng Wang et al. · 0 citations