English

Maximal $\Lambda(p)$-subsets of manifolds

Classical Analysis and ODEs 2024-11-08 v1 Probability

Abstract

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

Keywords

Cite

@article{arxiv.2411.04248,
  title  = {Maximal $\Lambda(p)$-subsets of manifolds},
  author = {Ciprian Demeter and Hongki Jung and Donggeun Ryou},
  journal= {arXiv preprint arXiv:2411.04248},
  year   = {2024}
}
R2 v1 2026-06-28T19:50:40.828Z