Boundedness of area operators on Bergman spaces

Xiaofen Lv, Jordi Pau, Maofa Wang

We completely characterize the boundedness of the area operators from the Bergman spaces $A_{\alpha }^p({\mathbb{B}}_n)$ to the Lebesgue spaces $L^q({\mathbb{S}}_n)$ for all $0<p,q<\infty$.…