ZiPeng WANG

On the converse of the Shimorin–Peláez–Rättyä–Wick theorem

Abstract We establish a converse of the Shimorin–Peláez–Rättyä–Wick theorem. Indeed, we obtain necessary and sufficient conditions for a Shimorin-type kernel to be the kernel of a radial, logarithmically subharmonic weighted Bergman space.