Sanghyuk Lee

activity

20072023

most citedImproved bounds for Stein's square functions

26 citations · 274 across the 59 of their papers we have counts for

collaborators

Showing 2017Show all

6 papers · 1 filter

math.CA2017★ 2 cited

Improved bound for the bilinear Bochner-Riesz operator

Eunhee Jeong, Sanghyuk Lee, Ana Vargas

We study $L^{p} \times L^{q} \to L^{r}$ bounds for the bilinear Bochner-Riesz operator $B^{α}$ , $α > 0$ in $R^{d},$ $d \geq 2$ , which is defined by \[ {\mathcal B}^α(f,g)=\iint_{…

math.CA2017★ 6 cited

Bilinear restriction estimates for surfaces of codimension bigger than one

Jong-Guk Bak, Jungjin Lee, Sanghyuk Lee

In connection with the restriction problem in $R^{n}$ for hypersurfaces including the sphere and paraboloid, the bilinear (adjoint) restriction estimates have been extensivel…

math.AP2017★ 1 cited

Smoothing estimates for the kinetic transport equation at the critical regularity

Neal Bez, Jayson Cunanan, Sanghyuk Lee

We prove smoothing estimates for velocity averages of the kinetic transport equation in hyperbolic Sobolev spaces at the critical regularity, leading to a complete characterisation…

math.CA2017

Sharp $L^{p}$ - $L^{q}$ estimates for the spherical harmonic projection

Yehyun Kwon, Sanghyuk Lee

We consider $L^{p}$ - $L^{q}$ estimates for the spherical harmonic projection operators and obtain sharp bounds on a certain range of $p$ , $q$ . As an application, we provide a proof of o…

math.FA2017★ 7 cited

On the Strichartz estimates for orthonormal systems of initial data with regularity

Neal Bez, Younghun Hong, Sanghyuk Lee +2

The classical Strichartz estimates for the free Schrödinger propagator have recently been substantially generalised to estimates of the form \[ \bigg\|\sum_jλ_j|e^{itΔ}f_j|^2\bigg\…

math.CA2017★ 24 cited

Square function estimates for the Bochner-Riesz means