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math.CV2026
Compact Toeplitz operators via the Berezin transform on radial weighted Bergman spaces
Yuerang Li, Zipeng Wang
Let be a radial -weight and be a bounded function on the unit disk . We prove that the Toeplitz operator \(T_{ω,u}\) is compact on \(A_ω^2\…
math.CV2026
Strong and weak-type estimates for radial weighted Bergman projections
Yuerang Li, Zipeng Wang
We completely characterize the -boundedness and the weak-type (1,1) estimate of radial weighted Bergman projections on the unit disk. Our result, in particular, confirms a con…
math.CV2026
On the converse of the Shimorin--Peláez--Rättyä--Wick theorem
Yuerang Li, Zipeng Wang
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 radia…