Essential norms of Volterra and Cesàro operators on Müntz spaces

Volterra算子在解析函数的Banach空间类中的最佳定义域

Optimal domain of Volterra operators in classes of Banach spaces of analytic functions

研究Volterra算子、Cesàro算子等在不同解析函数Banach空间中的最佳定义域，探讨其在Hardy空间、Korenblum增长空间等中的表现及新空间的生成。

Volterra算子在Korenblum空间中的最优域

Optimal domain of Volterra operators in Korenblum spaces

本文研究了给定连续线性算子T在Korenblum生长Banach空间中的最大定义域，探讨了Volterra算子在该空间中的扩展问题。

广义Volterra算子的最优定义域

Optimal Domain of generalized Volterra operators

受经典Cesáro算子最优定义域研究的启发，本文探究作用于Hardy空间H^p的广义Volterra算子T_g的最优定义域（即能被T_g映射到H^p的最大解析函数空间）并刻画其结构性质。

Isomorphic and isometric structure of the optimal domains for Hardy-type operators

We investigate structure of the optimal domains for the Hardy-type operators including, for example, the classical Cesàro, Copson and Volterra operators as well as for some of their generalizations. We prove that, in some sense, the abstract Cesàro and Copson function spaces are closely related to the space $L^1$, namely, they contain "in the middle" a complemented copy of $L^1[0,1]$, asymptotically isometric copy of $\ell^1$ and also can be renormed to contain an isometric copy of $L^1[0,1]$. Moreover, the generalized Tandori function spaces are quite similar to $L^\infty$ because they contai…