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On norms of maximal operators
Valentina Ciccone, Mahdi Hormozi, José Madrid +2
We study the exact norms for a number of maximal operators, which are prominent in harmonic analysis, semigroup theory, and probability. We prove that a strongly continuous p…
High-dimensional limits and extremizers for maximal functions associated with log-concave densities
Valentina Ciccone, Błażej Wróbel
We introduce a unified framework to establish the high-dimensional asymptotic behavior of maximal functions associated with radial log-concave probability densities, encompassing t…
On high dimensional maximal functions associated to Gaussians, balls, and spheres
Valentina Ciccone, Błażej Wróbel
We prove that for each the norms on of the maximal functions associated to Gaussians (heat semigroup), balls (Hardy-Littlewood averages), and…
A note on bilinear multipliers with convex singularities
Valentina Ciccone
We study bounds in the local range of exponents for bilinear multipliers whose symbol is the characteristic function of the epigraph of certain convex curves. We realize thes…
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 to $L^p(\m…