On multilinear oscillatory integrals, nonsingular and singular

Details On multilinear oscillatory integrals, nonsingular and singular On multilinear oscillatory integrals, nonsingular and singular

2003-11-04

arxiv.org/abs/math/0311039v1

Mathematics

Classical Analysis and ODEs

24 pages. See also http://www.math.berkeley.edu/~mchrist/preprints.html

Scientific paper

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.

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