5 papers
Sharp Estimates for -dimensional oscillatory integral operators with homogeneous binomial phases
Chu-hee Cho, Jin Bong Lee, Chan Woo Yang
We study oscillatory integral operators in -dimensions with a homogeneous binomial phase \[ Φ(x,y,t)=x^{k-k_P}t^{k_P}+y^{k-k_Q}t^{k_Q}, \qquad 1\le k_P<k_Q<k. \] For compact…
Bourgain's counterexample in the sequential convergence problem for the Schrödinger equation
Chu-Hee Cho, Daniel Eceizabarrena
We study the problem of pointwise convegence for the Schrödinger operator on along time sequences. We show that the sharp counterexample to the sequential Schrödinger…
improving properties and maximal estimates for certain multilinear averaging operators
Chu-hee Cho, Jin Bong Lee, Kalachand Shuin
In this article we focus on estimates for two types of multilinear lacunary maximal averages over hypersurfaces with curvature conditions. Moreover, we give a different pro…
A global space-time estimate for dispersive operators through its local estimate
Chu-hee Cho, Youngwoo Koh, Jungjin Lee
We will show that a local space-time estimate implies a global space-time estimate for dispersive operators. In order for this implication we consider a Littlewood-Paley type squar…
Pointwise convergence along a tangential curve for the fractional Schrödinger equation
Chu-hee Cho, Shobu Shiraki
In this paper we study the pointwise convergence problem along a tangential curve for the fractional Schrödinger equations in one spatial dimension and estimate the capacitary dime…