Given some regular weight $$\omega $$ ω on the unit disk $$\mathbb {D}$$ D , let $$L^p_\omega $$ L ω p be the space of all Lebesgue measurable functions on $$\mathbb {D}$$ D for which $$\begin{aligned} \Vert f\Vert _{L^p_\omega }=\left( \int _{\mathbb {D}} |f(z)|^p \omega (z)\mathrm{d}A(z)\right) ^{\frac{1}{p}}<\infty , \end{aligned}$$ ‖ f ‖ L ω p = ∫ D | f ( z ) | p ω ( z ) d A ( z ) 1 p < ∞ , and let $$A^p_\omega $$ A ω p be the weighted Bergman space of all holomorphic functions $$f\in L^p_\omega $$ f ∈ L ω p . For all possible $$1<p, q<\infty $$ 1 < p , q < ∞ , we characterize these symbols f for which the induced Hankel operators $$H_f$$ H f are bounded (or compact) from $$A_\omega ^p$$ A ω p to $$L^q_\omega $$ L ω q . While doing that we develop an approach to obtain some $$L^p_\omega $$ L ω p estimates on the canonical solution to $${\overline{\partial }}$$ ∂ ¯ -equation.