Author

Valentina Ciccone

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Preprint Oct 2026

On $L^p$ norms of maximal operators

We study the exact $L^p$ norms for a number of maximal operators, which are prominent in harmonic analysis, semigroup theory, and probability. We prove that a strongly continuous positive symmetric sub-Markovian semigroup $(T_t)_{t\ge0}$ on a nonatomic $\sigma$-finite measure space $(X,\mathcal F,\mu)$ has maximal $L^p...

Valentina Ciccone, M. Hormozi, José Madrid et al. · 0 citations

Preprint Jul 2026

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

We introduce a unified framework to establish the high-dimensional asymptotic behavior of maximal functions associated with radial log-concave probability densities, encompassing the maximal heat semigroup, Hardy-Littlewood maximal function over Euclidean balls, and, additionally, maximal spherical means. Namely, for a...

Valentina Ciccone, Bla.zej Wr'obel · 0 citations