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arXiv · 1903.04370

Norm-variation of cubic ergodic averages

Polona Durcik·Kristina Ana Škreb
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Abstract

We prove a quantitative result on norm convergence of cubic ergodic averages with respect to $d\geq 1$ commuting measure-preserving transformations. We use harmonic analysis techniques, a key tool being estimates for singular Brascamp-Lieb forms with cubical structure, which are used as a black box.

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Polona Durcik, Kristina Ana Škreb. 2019-03-11. Norm-variation of cubic ergodic averages. https://arxiv.org/abs/1903.04370

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