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math.CA2026
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…
math.CA2026
Dimension-free estimates for full discrete maximal functions associated with Euclidean balls and spheres
Mahdi Hormozi, Jakub Niksiński, Błażej Wróbel
We prove that the full discrete Hardy-Littlewood maximal operator associated with Euclidean balls satisfies dimension-free bounds on for every . W…