论文标题
Poisson方程和离散的单方面Hilbert Transform $（C，α）$ - 有限运算符
Poisson equation and discrete one-sided Hilbert transform for $(C,α)$-bounded operators
论文作者
论文摘要
我们表征了泊松方程的解决方案及其相关的单方面希尔伯特转换的域，用于分数秩序的CESàRO有限操作员。结果获得的结果相当概括为电源构造的操作员。顺便说一句，我们给出了平均千古定理的扩展。举例说明了理论。
We characterize the solutions of the Poisson equation and the domain of its associated one-sided Hilbert transform for Cesàro bounded operators of fractional order. The results obtained fairly generalize the corresponding ones for power-bounded operators. In passing, we give an extension of the mean ergodic theorem. Examples are given to illustrate the theory.
