Anthony Gauvan

collaborators

3 papers

math.CA2023

Maximal operators on hyperbolic triangles

Anthony Gauvan, Samuel Bronstein, Romain Branchereau

We characterize the boundedness properties on the spaces $L^{p} (H^{2})$ of the maximal operator $M_{B}$ where $B$ is an arbitrary family of hyperbolic triang…

math.CA2023

Sharp weak-type estimate for maximal operators associated to Cartesian families under an arithmetic condition

Anthony Gauvan

Given a set of integers $A \subset Z$ , we consider the smallest family $B_{A^{n - 1}}$ invariant by translation which contains the rectangles $$ R_{\boldsymbol{a}}…

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…