Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
11010183 | Journal of Mathematical Analysis and Applications | 2019 | 25 Pages |
Abstract
It is shown that there is a non-singular dynamical system for which the maximal ergodic inequality does not hold. We further discuss the connection between a non-singular dynamical systems and the pointwise convergence of the Furstenberg ergodic averages.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
E.H. el Abdalaoui,