4 papers
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…
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…
Maximal estimates for orthonormal systems of wave equations with sharp regularity
Hyerim Ko, Sanghyuk Lee, Shobu Shiraki
We study maximal estimates for the wave equation with orthonormal initial data. In dimension , we establish optimal results with the sharp regularity exponent up to the endpoi…
Maximal estimates for orthonormal systems of wave equations
Shinya Kinoshita, Hyerim Ko, Shobu Shiraki
This paper investigates maximal estimates of the wave operators for orthonormal families of initial data. We extend the classical maximal estimates for the wave operator by making…