Suppose D is a bounded strongly pseudoconvex domain in Cn\documentclass[12pt]{minimal}
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\begin{document}$${{\mathbb {C}}}^n$$\end{document} with smooth boundary, and let ρ\documentclass[12pt]{minimal}
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\begin{document}$$\rho $$\end{document} be its defining function. For 1<p<∞\documentclass[12pt]{minimal}
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\begin{document}$$1< p<\infty $$\end{document} and α>-1\documentclass[12pt]{minimal}
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\begin{document}$$\alpha >-1$$\end{document}, we show that the weighted Bergman projection Pα\documentclass[12pt]{minimal}
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\begin{document}$$P_\alpha $$\end{document} is bounded on Lp(D,|ρ|αdV)\documentclass[12pt]{minimal}
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\begin{document}$$L^p(D, |\rho |^\alpha dV)$$\end{document}. With non-isotropic estimates for ∂¯\documentclass[12pt]{minimal}
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\begin{document}$$\overline{\partial }$$\end{document} and Stein’s theorem on non-tangential maximal operators, we prove that bounded holomorphic functions are dense in the weighted Bergman space Ap(D,|ρ|αdV)\documentclass[12pt]{minimal}
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\begin{document}$$A^p(D, |\rho |^\alpha dV)$$\end{document}, and hence Hankel operators can be well defined on these spaces. For all 1<p,q<∞\documentclass[12pt]{minimal}
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\begin{document}$$1<p, q<\infty $$\end{document} we characterize bounded (resp. compact) Hankel operators from p-th weighted Bergman space to q-th weighted Lebesgue space with possibly different weights. As a consequence, we generalize the main results in Pau et al. (Indiana Univ Math J 65:1639–1673, 2016) and resolve a question posed in Lv and Zhu (Integr Equ Oper Theory, 2019).
