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arXiv · 1806.00902

Variational inequalities for bilinear averages

Honghai Liu
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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.

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Honghai Liu. 2018-06-04. Variational inequalities for bilinear averages. https://arxiv.org/abs/1806.00902

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