Donggeun Ryou

activity

20242026

collaborators

5 papers

math.PR2026

Fourier dimension of Mandelbrot cascades on planar curves

Donggeun Ryou, Ville Suomala

We consider multifractal Mandelbrot cascades supported on planar $C^{2}$ curves with nonvanishing curvature and show that their Fourier dimension is as large as possible, i.e., equal…

math.CA2025

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

Shengze Duan, Minh-Quy Pham, Donggeun Ryou

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

math.CA2025

Fourier restriction and well-approximable numbers

Robert Fraser, Kyle Hambrook, Donggeun Ryou

We use a deterministic construction to prove the optimality of the exponent in the Mockenhaupt-Mitsis-Bak-Seeger Fourier restriction theorem for dimension $d = 1$ and parameter range…

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

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…

Fourier dimension of Mandelbrot cascades on planar curves

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

Fourier restriction and well-approximable numbers

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

Maximal I^(p)-subsets of manifolds

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

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