Weighted and vector-valued variational estimates for ergodic averages

Published 24 Sep 2014 in math.CA and math.DS | (1409.7120v2)

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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