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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 wav…
math.CA2025
Local smoothing and maximal estimates for average over surfaces of codimension 2 in
Seheon Ham, Hyerim Ko
In this paper, we obtain local smoothing estimates for the averages over nondegenerate surfaces of codimension in . We make use of multilinear restriction estimate…
math.CA2018
Remarks on estimates for the adjoint restriction operator to curves over the sphere
Seheon Ham, Hyerim Ko, Sanghyuk Lee
Recently, two of the authors obtained estimates for the adjoint restriction operator to finite type curves with respect to general measures. Strikingly, it turns out that some of s…