Weighted composition operators between Fock spaces ℱ∞(ℂ) and ℱp(ℂ)
Abstract
In this paper, we establish necessary and sufficient conditions for boundedness and compactness of weighted composition operators acting between Fock spaces ℱ∞(ℂ) and ℱp(ℂ). We also give complete descriptions of path connected components for the space of composition operators and the space of nonzero weighted composition operators in this context.