Anthony Gauvan

activity

20222025

collaborators

Showing 2023Show all

3 papers · 1 filter

math.FA2023

Perron's capacity of random sets

Anthony Gauvan

Given a sequence of random variables ${X_{k} : k \geq 1}$ uniformly distributed in $(0, 1)$ and independent, we consider the following random sets of directions $$Ω_{\te…

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}}…