Laurent Moonens

activity

20162023

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3 papers · 1 filter

math.CA2019

Differentiating along rectangles with fixed shapes in a set of directions

Emma D'Aniello, Laurent Moonens

In the present note, we examine the behavior of some homo\-thecy-invariant differentiation basis of rectangles in the plane satisfying the following requirement: for a given rectan…

math.CA2018

Differentiating Orlicz spaces with rare bases of rectangles

Emma D 'Aniello, Laurent Moonens, Joseph Rosenblatt

In the current paper, we study how the speed of convergence of a sequence of angles decreasing to zero influences the possibility of constructing a rare differentiation basis of re…

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…

Differentiating along rectangles with fixed shapes in a set of directions

Differentiating Orlicz spaces with rare bases of rectangles

Averaging on n-dimensional rectangles

Averaging on $n$ -dimensional rectangles