On multilinear oscillatory integrals, nonsingular and singular
Classical Analysis and ODEs
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/0311039,
title = {On multilinear oscillatory integrals, nonsingular and singular},
author = {Michael Christ and Xiaochun Li and Terence Tao and Christoph Thiele},
journal= {arXiv preprint arXiv:math/0311039},
year = {2007}
}
Comments
24 pages. See also http://www.math.berkeley.edu/~mchrist/preprints.html