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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 δ^…