Resumen de Weighted composition operators on weighted Bergman spaces induced by doubling weights

Juntao Du, Songxiao Li, Yecheng Shi

• In this paper, we investigate the boundedness, compactness, essential norm and the Schatten class of weighted composition operators uCφ on Bergman type spaces Apω induced by a doubling weight ω. Let X={u∈H(D):uCφ:Apω→Apω is bounded}. For some regular weights ω, we obtain that X=H∞ if and only if ϕ is a finite Blaschke product.