WebAs mentioned above, Hickman and Iliopoulou [12] have recently extended the polynomial partitioning method developed by Guth in [10] and Guth, Hickman, and Iliopoulou in [11] to the hyperbolic case. The key new in-gredient is the introduction of certain weakened transverse equidistribution estimates. WebThe sharp range of L -estimates for the class of Hörmander-type oscillatory integral operators is established in all dimensions under a positive-definite assumption on the phase.
Sharp estimates for oscillatory integral operators via …
WebLarry Guth, Jonathan Hickman, Marina Iliopoulou. School of Mathematics; Research output: Contribution to journal › Article › peer-review. Overview; Fingerprint; Profiles (1) Abstract. WebAs mentioned above, Hickman and Iliopoulou [12] have recently extended the poly-nomial partitioning method developed by Guth in [10] and by Guth, Hickman, and Ili-opoulou in [11] to the hyperbolic case. The key new ingredient is the introduction of certain weakened transverse equidistribution estimates. These estimates, which describe cf.no
A type of oscillatory integral operator and its applications
WebJun 1, 2024 · Jonathan Hickman, Marina Iliopoulou. The sharp range of -estimates for the class of Hörmander-type oscillatory integral operators is established in all dimensions … WebPapers. Inequalities of Riesz-Sobolev type for compact connected Abelian groups (with M. Christ) (2024). Sharp estimates for oscillatory integral operators via polynomial … WebFeb 1, 2024 · The complicated ( 1 p 1, 1 p 1) and ( 1 q 1, 1 q 2) arise from application of the oscillatory integral theorem of Guth, Hickman and Ilopoulou [7] and that of the multilinear estimates of Tao [13]. cf notices