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 $H_f$ and $H_{\overline{f}}$ are both bounded or compact from a weighted large Fock space $F^p\left(\varphi \right)$ into a weighted Lebesgue space $L^p\left(\varphi \right)$ when $1\le p<\infty$ .