Donggeun Ryou

collaborators

3 papers

math.CA2025

Sharpness of the Mockenhaupt-Mitsis-Bak-Seeger Fourier restriction theorem in all dimensions

Robert Fraser, Kyle Hambrook, Donggeun Ryou

We prove the optimality of the exponent in the Mockenhaupt-Mitsis-Bak-Seeger Fourier restriction theorem in all dimensions $d$ and the full parameter range $0 < a, b < d$ . Our const…

math.CA2024

$L^{p}$ -integrability of functions with Fourier supports on fractal sets on the moment curve

Shengze Duan, Minh-Quy Pham, Donggeun Ryou

For $0 < α \leq 1$ , let $E$ be a compact subset of the $d$ -dimensional moment curve in $R^{d}$ such that $N (E, ε) ≲ ε^{- α}$ for $0 < ε < 1$ …

math.CA2024

Maximal $Λ (p)$ -subsets of manifolds

Ciprian Demeter, Hongki Jung, Donggeun Ryou

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…

Sharpness of the Mockenhaupt-Mitsis-Bak-Seeger Fourier restriction theorem in all dimensions

Lp-integrability of functions with Fourier supports on fractal sets on the moment curve

Maximal Λ(p)-subsets of manifolds

$L^{p}$ -integrability of functions with Fourier supports on fractal sets on the moment curve

Maximal $Λ (p)$ -subsets of manifolds