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VARIATIONAL INEQUALITIES FOR BILINEAR AVERAGES
Mathematika ( IF 0.8 ) Pub Date : 2020-05-04 , DOI: 10.1112/mtk.12034
Honghai Liu 1 , Hanbin Wang 1
Affiliation  

We obtain variational inequalities for some classes of bilinear averages of one variable, generalizing the variational inequalities for averages of R. Jones {\it et al}. As an application we get almost everywhere convergence for the ergodic averages along cubes on a dynamical system.

中文翻译:

双线性平均值的变分不等式

我们获得了一个变量的某些类别的双线性平均值的变分不等式,概括了 R. Jones {\it et al} 的平均值的变分不等式。作为一个应用程序,我们几乎可以在动态系统上的立方体上获得遍历平均值的收敛。
更新日期:2020-05-04
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