18 citations · 54 across the 16 of their papers we have counts for
16 papers
Weighted decoupling with lower-dimensional frequency localization
Jongchon Kim
We prove weighted and refined decoupling estimates for functions whose Fourier transforms are supported in a small neighborhood of the unit sphere or the truncated para…
A note on small cap square function and decoupling estimates for the parabola
Jongchon Kim, Liang Wang, Chun Keung Yeung
In this paper, we prove small cap square function and decoupling estimates for the parabola, where the small caps are essentially axis-parallel rectangles of dimensions $δ\times δ^…
Weighted wave envelope estimates for the parabola
Jongchon Kim, Hyerim Ko
In this paper, we extend the Córdoba-Fefferman square function estimate for the parabola to a weighted setting. Our weighted square function estimate is derived from a weighted wav…
Weighted decoupling estimates and the Bochner-Riesz means
Jongchon Kim
We prove new weighted decoupling estimates. As an application, we give an improved sufficient condition for almost everywhere convergence of the Bochner-Riesz means of arbitrary $L…
Nikodym sets and maximal functions associated with spheres
Alan Chang, Georgios Dosidis, Jongchon Kim
We study spherical analogues of Nikodym sets and related maximal functions. In particular, we prove sharp -estimates for Nikodym maximal functions associated with spheres. As…
Almost-orthogonality principles for certain directional maximal functions
Jongchon Kim
We develop almost-orthogonality principles for maximal functions associated with averages over line segments and directional singular integrals. Using them, we obtain sharp -b…