5 citations · 5 across the 9 of their papers we have counts for
10 papers
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…
Closed Range and Essential Norms of Composition Operators on Weighted Dirichlet Spaces
Caixing Gu, Li He, Xiaofeng Wang +1
We study closed range and essential norms of bounded composition operators on weighted Dirichlet spaces . For , we first consider maps whose images are…
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…
Polynomial Approximation in Higher-Order Weighted Dirichlet Spaces
Yuanhao Yan, Li He
Fejér's theorem guarantees norm convergence of Cesàro means of Taylor partial sums in the Hardy space, whereas such convergence generally fails in weighted Dirichlet-type spaces, e…
Composition operators with closed range on the Dirichlet space
Guangfu Cao, Li He
It is well known that the composition operator on Hardy or Bergman space has a closed range if and only if its Navanlinna counting function induces a reverse Carleson measure. Simi…
Evaluation functions and composition operators on Banach spaces of holomorphic functions
Guangfu Cao, Li He, Ji Li
Let be the Banach space of holomorphic functions on a bounded connected domain in , which contains the ring of polynomials on . In this paper, we first e…