3 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.AP2022
Hörmander type theorem for multilinear Pseudo-differential operators
Yaryong Heo, Sunggeum Hong, Chan Woo Yang
We establish a Hörmander type theorem for the multilinear pseudo-differential operators, which is also a generalization of the results in \cite{MR4322619} to symbols depending on t…
math.CA2007
Triple Hilbert transforms along polynomial surfaces
Yong Kum Cho, Sunggeum Hong, Joonil Kim +1
This paper has been withdrawn since it contains some discrepancy with othe authers's recent result. We will not post this until this discrepancy is resolved.