Inheritance of noncompactness of the ∂̄-Neumann problem

In this paper we show that noncompactness of the ∂̄-Neumann operator on a smooth, bounded, pseudoconvex Reinhardt domain Ω in C2 implies noncompactness of the ∂̄-Neumann operator of higher-dimensional domains fibered over Ω under a suitable size restriction on the fibers.