Necessary and sufficient conditions are given for a Shimorin kernel to be the reproducing kernel of a radial, logarithmically subharmonic weighted Bergman space.
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On the converse of the Shimorin--Pel\'aez--R\"atty\"a--Wick theorem
Necessary and sufficient conditions are given for a Shimorin kernel to be the reproducing kernel of a radial, logarithmically subharmonic weighted Bergman space.