On multiparameter Weighted ergodic theorem for Noncommutative L_{p}-spaces

Farrukh Mukhamedov; Maksut Mukhamedov; Seyit Temir

On multiparameter Weighted ergodic theorem for Noncommutative L_{p}-spaces

泛函分析 2007-10-08 v2 算子代数

作者: Farrukh Mukhamedov , Maksut Mukhamedov , Seyit Temir

摘要

In the paper we consider $T_{1},..., T_{d}$ absolute contractions of von Neumann algebra $\M$ with normal, semi-finite, faithful trace, and prove that for every bounded Besicovitch weight $\{a(\kb)\}_{\kb\in\bn^d}$ and every $x\in L_{p}(\M)$ , ( $p>1$ ) the averages A_{\Nb}(x)=\frac{1}{|\Nb|}\sum\limits_{\kb=1}^{\Nb}a(\kb)\Tb^{\kb}(x). converge bilaterally almost uniformly in $L_{p}(\M)$ .

关键词

ergodic theory lp spaces and inequalities weighted inequalities

引用

@article{arxiv.math/0611381,
  title  = {On multiparameter Weighted ergodic theorem for Noncommutative L_{p}-spaces},
  author = {Farrukh Mukhamedov and Maksut Mukhamedov and Seyit Temir},
  journal= {arXiv preprint arXiv:math/0611381},
  year   = {2007}
}

备注

8 pages. submitted

On multiparameter Weighted ergodic theorem for Noncommutative L_{p}-spaces

摘要

关键词

引用

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