On the uniqueness of the uncentered ergodic maximal function
Volume 183 / 2004
Fundamenta Mathematicae 183 (2004), 81-90
MSC: Primary 28D05, 37A05, 42B25.
DOI: 10.4064/fm183-1-5
Abstract
It is shown that if two functions share the same uncentered (two-sided) ergodic maximal function, then they are equal almost everywhere.