On multilinear oscillatory integrals, nonsingular and singular
Michael Christ, Xiaochun Li, Terence Tao, Christoph Thiele
Abstract
Basic questions concerning nonsingular multilinear operators with oscillatory factors are posed and partially answered. Lebesgue space norm inequalities are established for multilinear integral operators of Calderon-Zygmund type which incorporate oscillatory factors exp(iP), where P is a real-valued polynomial with large coefficients. A related problem concerning upper bounds for measures of sublevel sets is solved.
Create a lesson
Related papers
An equivalence principle for martingales
Grigori A. Karagulyan, Linda A. Khachatryan, Khazhakanush V. Navoyan
Macroscopic return-time spectra and Hausdorff dimension transitions
Jinjun Li
Homogeneous Polynomial Carleson Operators Along the Paraboloid
Alina Zhu
Stein's generalized spherical maximal operator
Luz Roncal
Arithmetic product theorems on self-similar sets of uniqueness and homogeneous Moran sets
Yan-Song Fu, Xu-Guang Wang, Meng Zhu
Sampling Density for Multi-window STFT Phase Retrieval
Wenchang Sun, Mengxuan Zhou