On Toeplitz operators between different Fock–Sobolev-type spaces

Abstract

In this paper, we characterize those positive Borel measurable symbols μ on $\mathbb{C}^{n}$ C n that induce the Toeplitz operators $T^{\alpha}_{\mu}$ T μ α to be bounded or compact between different Fock–Sobolev–type spaces $F^{p}_{\alpha}$ F α p and $F^{\infty}_{\alpha}$ F α ∞ with $0< p\leq \infty $ 0 < p ≤ ∞ .