Some spectral properties of the canonical solution operator to $\bar{\partial }$ on weighted Fock spaces

Olivia Constantin, Joaquim Ortega-Cerdà

We characterize the Schatten class membership of the canonical solution operator to $\bar{\partial }$ acting on $L^2(e^{-2\varphi })$, where $\varphi$ is a subharmonic function with $\Delta \varphi$ a doublin…