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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…
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 ra…
-- estimates for Shimorin-type integral operators
Yuerang Li, Zipeng Wang, Kenan Zhang
Let be a positive measure on . A Shimorin-type operator is an integral operator on the unit disk given by \[ T_νf(z) = \int_{\mathbb{D}} \frac{1}{1 - z\overline…
Da Lio-Rivière-Wettstein-type inequality for weighted Bergman spaces
Yong Han, Yanqi Qiu, Zipeng Wang
In this paper, inspired by the work of Da Lio-Rivière-Wettstein, we investigate the boundary-value characterizations of weighted Bergman spaces and establish a weighted Da Lio-Riv…