Valentina Ciccone

collaborators

4 papers

math.CA2026

On high dimensional maximal functions associated to Gaussians, balls, and spheres

Valentina Ciccone, BÅaÅ¼ej WrÃ³bel

We prove that for each $p \in (1, \infty),$ the norms on $L^{p} (R^{d})$ of the maximal functions associated to Gaussians (heat semigroup), balls (Hardy-Littlewood averages), and…

math.CA2026

High-dimensional limits and extremizers for maximal functions associated with log-concave densities

Valentina Ciccone, BÅaÅ¼ej WrÃ³bel

We introduce a unified framework to establish the high-dimensional asymptotic behavior of maximal functions associated with radial log-concave probability densities, encompassing t…

math.CA2025

Global and local maximizers for some Fourier extension estimates on the sphere

Valentina Ciccone, Mateus Sousa

In this note, we study maximizers for Fourier extension inequalities on the sphere. We prove that constant functions are local maximizers for the $L^{p} (S^{d - 1})$ to $L^p(\m…

math.CA2025

A note on bilinear multipliers with convex singularities

Valentina Ciccone

We study bounds in the local $L^{2}$ range of exponents for bilinear multipliers whose symbol is the characteristic function of the epigraph of certain convex curves. We realize thes…