论文标题
大量的加权定律和加权的单方面的千古式希尔伯特在矢量价值$ l_p $ - 空间上变换
Weighted Laws of Large Numbers and Weighted One-Sided ergodic Hilbert Transforms on Vector Valued $L_p$-spaces
论文作者
论文摘要
引入了一个更一般的称为可允许的重量概念，然后对A.E进行了调查。大量加权强法及其应用于加权单方面的希尔伯特（Hilbert）在矢量值$ l_p $ - 空格上的融合。此外，获得的结果被应用于A.E.随机调制加权段系列的收敛性，在经典环境中也是新的。
A more general notion of weight called admissible is introduced and then an investigation is carried out on the a.e. convergence of weighted strong laws of large numbers and their applications to weighted one-sided ergodic Hilbert transforms on vector-valued $L_p$-spaces. Furthermore, the obtained results are applied to the a.e. convergence of random modulated weighted ergodic series, which is also new in the classical setting.
