Toeplitz operators between large Fock spaces in several complex variables

Let $\omega$ belong to the weight class $\mathcal{W}$, the large Fock space ${\mathcal{F}}_{\omega }^p$ consists of all holomorphic functions $f$ on ${\mathbb{C}}^n$ such that the function $f(\cdot )\omega (\cdot {)}^{1/2}$ is in $L^p({\mathbb{C}}^n,dv)$. In this paper, given a positive Borel measure $\mu$ on ${\mathbb{C}}^n$, we characterize the boundedness and compactness of Toeplitz operator $T_{\mu }$ between two large Fock spaces $F_{\omega }^p$ and $F_{\omega }^q$ for all possible $0<p,q<\mathrm{\infty }$.