2 papers
math.FA2025
Expository article: "Bounded orthogonal systems and the -set problem'' by Jean Bourgain
Hongki Jung, Bartosz Langowski, Alexander Ortiz +1
In this paper, we present an exposition of the work \cite{B} by Jean Bourgain, in which he resolved the well known conjecture posed by Rudin regarding the existence of -sets.
math.CA2024
Maximal -subsets of manifolds
Ciprian Demeter, Hongki Jung, Donggeun Ryou
We construct maximal -subsets on a large class of curved manifolds, in an optimal range of Lebesgue exponents . Our arguments combine restriction estimates and decoupling…