Hongki Jung

collaborators

2 papers

math.FA2025

Expository article: "Bounded orthogonal systems and the $I^ (p)$ -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 $I^ (p)$ -sets…

math.CA2024

Maximal $I^ (p)$ -subsets of manifolds

Ciprian Demeter, Hongki Jung, Donggeun Ryou

We construct maximal $I^ (p)$ -subsets on a large class of curved manifolds, in an optimal range of Lebesgue exponents $p$ . Our arguments combine restriction estimates and decoupling…

Expository article: "Bounded orthogonal systems and the I^(p)-set problem'' by Jean Bourgain

Maximal I^(p)-subsets of manifolds

Expository article: "Bounded orthogonal systems and the $I^ (p)$ -set problem'' by Jean Bourgain

Maximal $I^ (p)$ -subsets of manifolds