7 citations · 12 across the 8 of their papers we have counts for
8 papers
Fourier dimension of Mandelbrot cascades on planar curves
Donggeun Ryou, Ville Suomala
We consider multifractal Mandelbrot cascades supported on planar curves with nonvanishing curvature and show that their Fourier dimension is as large as possible, i.e., equal…
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 and the full parameter range . Our const…
-integrability of functions with Fourier supports on fractal sets on the moment curve
Shengze Duan, Minh-Quy Pham, Donggeun Ryou
For , let be a compact subset of the -dimensional moment curve in such that for …
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…
A study guide for "On the Hausdorff dimension of Furstenberg sets and orthogonal projections in the plane" after T. Orponen and P. Shmerkin
Jacob B. Fiedler, Guo-Dong Hong, Donggeun Ryou +1
This article is a study guide for ``On the Hausdorff dimension of Furstenberg sets and orthogonal projections in the plane" by Orponen and Shmerkin. We begin by introducing Fursten…
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 and parameter range…
Near-optimal restriction estimates for Cantor sets on the parabola
Donggeun Ryou
For any , we construct Cantor sets on the parabola of Hausdorff dimension such that they are Salem sets and each associated measure satisfies the estimate $\|{\wid…
A variant of the set problem in Orlicz spaces
Donggeun Ryou
We introduce -sets as generalizations of -sets. These sets are defined in terms of Orlicz norms. We consider -sets when the Matuszewska-Orlicz index of i…