Some spectral properties of the canonical solution operator to on weighted Fock spaces

We characterize the Schatten class membership of the canonical solution operator to ∂ ¯ acting on L 2 ( e − 2 ϕ ) , where ϕ is a subharmonic function with Δϕ a doubling measure. The obtained characterization is in terms of Δϕ. As part of our approach, we study Hankel operators with anti-analytic symbols acting on the corresponding Fock space of entire functions in L 2 ( e − 2 ϕ ) .