3 papers
math.FA2026
Compactness of Toeplitz Operators on the Bergman Space
Guangfu Cao, Li He, Shuqing Zhang
Let $φ\in L^\infty(\D)$. We study compactness criteria for \(T_φ\) on the Bergman space $A^2(\D)$. Axler and Zheng~\cite{AZ1998} established a necessary and sufficient condition fo…
math.CV2026
The Reciprocal Problem on Weighted Bergman Spaces
Guangfu Cao, Li He, Shuqing Zhang
We study the reciprocal problem for weighted Bergman spaces: if $f\in A_α^p(\Bn)$ and $\inf_{\Bn}|f|>0$, does it follow that $1/f\in A_α^p(\Bn)$? We determine the range of paramete…
math.FA2025
The essential norm of Toeplitz operators between Bergman spaces induced by doubling weights
Peiying Huang, Guangfu Cao
This paper investigates the essential norm of Toeplitz operators acting from the Bergman space to () on the unit ball, where…