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arXiv · 1604.00402

Averaging on $n$-dimensional rectangles

Emma D'Aniello·Laurent Moonens
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Abstract

In this work we investigate families of translation invariant differentiation bases $B$ of rectangles in $R^n$, for which $L\log^{n-1}L(R^n)$ is the largest Orlicz space that $B$ differentiates. In particular, we improve on techniques developed by A.~Stokolos 1988 and 2008.

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Emma D'Aniello, Laurent Moonens. 2016-04-01. Averaging on $n$-dimensional rectangles. https://arxiv.org/abs/1604.00402

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