Laurent Moonens

activity

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.CA2022

Almost everywhere convergence for Lebesgue differentiation processes along rectangles

Emma D'Aniello, Anthony Gauvan, Laurent Moonens +1

In this paper, we study Lebesgue differentiation processes along rectangles $R_{k}$ shrinking to the origin in the Euclidean plane, and the question of their almost everywhere conver…

math.CA2022

(Un)boundedness of directional maximal operators through a notion of "Perron capacity'' and an application

Emma D'Aniello, Anthony Gauvan, Laurent Moonens

We introduce the notion of \textit{Perron capacity} of a set of slopes $Ω \subset R$ . Precisely, we prove that if the Perron capacity of $Ω$ is finite then the directional…