On the converse of the Shimorin--Peláez--Rättyä--Wick theorem
arXiv:2604.10464
Abstract
We establish a converse of the Shimorin--Peláez--Rättyä--Wick theorem. Specifically, we obtain necessary and sufficient conditions for a Shimorin kernel to be the kernel of a radial, logarithmically subharmonic weighted Bergman space.
14 pages