Maximal $Λ(p)$-subsets of manifolds

Ciprian Demeter, Hongki Jung, Donggeun Ryou

Published 2024-11-06Version 1

We construct maximal $\Lambda(p)$-subsets on a large class of curved manifolds, in an optimal range of Lebesgue exponents $p$. Our arguments combine restriction estimates and decoupling with old and new probabilistic estimates.