Weighted and vector-valued variational estimates for ergodic averages
Classical Analysis and ODEs
2018-03-13 v2 Dynamical Systems
Abstract
We prove weighted and vector-valued variational estimates for ergodic averages on . The weighted square function estimate relating ergodic averages to the dyadic martingale is obtained using an version of a reverse H\"older inequality for variation seminorms.
Keywords
Cite
@article{arxiv.1409.7120,
title = {Weighted and vector-valued variational estimates for ergodic averages},
author = {Ben Krause and Pavel Zorin-Kranich},
journal= {arXiv preprint arXiv:1409.7120},
year = {2018}
}
Comments
v2: 12 pages, with a new short proof of the weighted bound for the square function