Variational inequalities for bilinear averages
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🧮 math.CA
keywords
averagesinequalitiesvariationalbilinearalmostalongapplicationclasses
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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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