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.
Authors
- ZiPeng WANG
- Yuerang Li
Institutions
- Chongqing University (CN)
Publication Details
- Journal
- Canadian Mathematical Bulletin
- Published
- 2026-10-15
- DOI
- https://doi.org/10.4153/s0008439526102562
- Primary Topic
- Holomorphic and Operator Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00