Reverse Carleson Measures on Generalized Fock Spaces

In this paper, we characterize reverse Carleson measures for a class of generalized Fock spaces Fφp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$F_\varphi ^p$$\end{document}, with 0 < p < ∞ and with φ satisfying ddcφ ≃ ω0. As an application of these results, we obtain several equivalent characterizations for invertible Toeplitz operators Tψ, induced by positive bounded symbols ψ on Fφ2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$F_\varphi ^2$$\end{document}.