2 papers
math.CA2026
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…
math.AP2024
Dimension of divergence sets of oscillatory integrals with concave phase
Chu-hee Cho, Shobu Shiraki
We study the Hausdorff dimension of the sets on which the pointwise convergence of the solutions to the fractional Schrödinger equation fails when $m\in(0,…