发表机构
Guangdong University of Finance; Shantou University; Sichuan University（广东财经大学; 汕头大学; 四川大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究针对作用于加权Bergman空间$A_{\alpha}^p$的广义Hilbert算子$\mathcal{H}_b$，建立其算子范数的若干上界与一个下界，并在温和假设下得到其精确范数。
AI 中文摘要
建立了作用在加权Bergman空间$A_{\alpha}^p$上的广义Hilbert算子$\mathcal{H}_b$的算子范数的若干上界和一个下界；此外，在一些温和假设下，得到了$\mathcal{H}_b$在$A_{\alpha}^p$上的精确范数。
英文摘要
Several upper bounds as well as one lower bound for the operator norm of the generalized Hilbert operator $\mathcal{H}_b$ acting on weighted Bergman spaces $A_α^p$ are established. Moreover, under some mild assumptions, we obtain the exact norm of $\mathcal{H}_b$ on $ A_α^p$.
CommentsThe first draft of this paper was written in 2018. The work in this paper was presented at a conference held at Guangzhou University in July, 2026
