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arXiv · 2411.04248

Maximal $Λ(p)$-subsets of manifolds

Ciprian Demeter·Hongki Jung·Donggeun Ryou
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Abstract

We construct maximal $Λ(p)$-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.

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Ciprian Demeter, Hongki Jung, Donggeun Ryou. 2024-11-06. Maximal $Λ(p)$-subsets of manifolds. https://arxiv.org/abs/2411.04248

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