Two weights inequality for Hankel operators on weighted Bergman spaces induced by radial weights

Abstract

The two weights inequality for Hankel operators $$\|H_f^\omega (\cdot)\|_{L_\eta^q}\leq C \|\cdot\|_{A_v^p},$$ induced by some radial weights under the regular assumptions is considered, the boundedness and compactness of Hankel operators $H^\omega_f$ is characterized for $1<p,q<\infty$ and $\omega\neq v\neq \eta\in \mathcal{R}$.