Sharp $L^2$ Estimates for $(2+1)$-dimensional oscillatory integral operators with homogeneous binomial phases

Chu-hee Cho, Jin Bong Lee, Chan Woo Yang

We study oscillatory integral operators in $(2+1)$-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…