Laurent Moonens

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20152023

most citedDifferentiating along rectangles in lacunary directions

2 citations · 2 across the 7 of their papers we have counts for

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math.CA2016

Averaging on $n$ -dimensional rectangles

Emma D'Aniello, Laurent Moonens

In this work we investigate families of translation invariant differentiation bases $B$ of rectangles in $R^{n}$ , for which $L lo g^{n - 1} L (R^{n})$ is the largest Orlicz space that $B$ d…

math.CA2016★ 2 cited

Differentiating along rectangles in lacunary directions

Laurent Moonens

We show that, given some lacunary sequence of angles $θ = (θ_{j})_{j \in N}$ not converging too fast to zero, it is possible to build a rare differentiation basis $B$ o…

Averaging on n-dimensional rectangles

Differentiating along rectangles in lacunary directions

Averaging on $n$ -dimensional rectangles