7 citations · 12 across the 8 of their papers we have counts for
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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…