3 papers
math.CA2026
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…
math.CA2026
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 ΅
math.CA2025
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 wa…