@article{Du_Li_Shi_2020, title={Weighted composition operators on weighted Bergman spaces induced by doubling weights}, volume={126}, url={https://www.mscand.dk/article/view/119741}, DOI={10.7146/math.scand.a-119741}, abstractNote={<p>In this paper, we investigate the boundedness, compactness, essential norm and the Schatten class of weighted composition operators $uC_\varphi $ on Bergman type spaces $A_\omega ^p $ induced by a doubling weight ω. Let $X=\{u\in H(\mathbb{D} ): uC_\varphi \colon A_\omega ^p\to A_\omega ^p\ \text {is bounded}\}$. For some regular weights ω, we obtain that $X=H^\infty $ if and only if ϕ is a finite Blaschke product.</p>}, number={3}, journal={MATHEMATICA SCANDINAVICA}, author={Du, Juntao and Li, Songxiao and Shi, Yecheng}, year={2020}, month={Sep.}, pages={519–539} }