Zhi-Cheng Zeng

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...