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

Abstract

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