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arXiv · 1409.7120

Weighted and vector-valued variational estimates for ergodic averages

Ben Krause·Pavel Zorin-Kranich
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Abstract

We prove weighted and vector-valued variational estimates for ergodic averages on $\mathbb{R}^d$. The weighted square function estimate relating ergodic averages to the dyadic martingale is obtained using an $\ell^r$ version of a reverse H\"older inequality for variation seminorms.

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Ben Krause, Pavel Zorin-Kranich. 2014-09-24. Weighted and vector-valued variational estimates for ergodic averages. https://doi.org/10.1017/etds.2016.27

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