Boundedness and Compactness of Hankel Operators on Large Fock Space

Abstract

We introduce the BMO spaces and use them to characterize complex-valued functions f such that the big Hankel operators Hf and Hf¯ are both bounded or compact from a weighted large Fock space Fpϕ into a weighted Lebesgue space Lpϕ when 1≤p<∞.