Variational inequalities for bilinear averages
Classical Analysis and ODEs
2018-06-05 v1
Abstract
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.
Cite
@article{arxiv.1806.00902,
title = {Variational inequalities for bilinear averages},
author = {Honghai Liu},
journal= {arXiv preprint arXiv:1806.00902},
year = {2018}
}
Comments
19 pages