Oscillation inequalities in ergodic theory and analysis: one-parameter and multi-parameter perspectives
Dynamical Systems
2022-09-07 v1 Classical Analysis and ODEs
Abstract
In this survey we review useful tools that naturally arise in the study of pointwise convergence problems in analysis, ergodic theory and probability. We will pay special attention to quantitative aspects of pointwise convergence phenomena from the point of view of oscillation estimates in both the single and several parameter settings. We establish a number of new oscillation inequalities and give new proofs for known results with elementary arguments.
Cite
@article{arxiv.2209.01309,
title = {Oscillation inequalities in ergodic theory and analysis: one-parameter and multi-parameter perspectives},
author = {Mariusz Mirek and Tomasz Z. Szarek and James Wright},
journal= {arXiv preprint arXiv:2209.01309},
year = {2022}
}
Comments
29 pages, no figures