In this paper, we characterize reverse Carleson measures for a class of generalized Fock spaces $F_{\varphi}^{p}$, with $0<p<\infty$ and with $\varphi$ satisfying $d d^{c} \varphi \simeq \omega_{0}$. As an application of these results, we obtain several equivalent characterizations for invertible Toeplitz operators $T_{\psi}$, induced by positive bounded symbols $\psi$ on $F_{\varphi}^{2}$.
Guangfu Cao
,
Li He
,
Yiyuan Zhang
. REVERSE CARLESON MEASURES ON GENERALIZED FOCK SPACES*[J]. Acta mathematica scientia, Series B, 2023
, 43(2)
: 655
-667
.
DOI: 10.1007/s10473-023-0211-7
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