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On multilinear oscillatory integrals, nonsingular and singular

Michael Christ·Xiaochun Li·Terence Tao·Christoph Thiele
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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.

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Michael Christ, Xiaochun Li, Terence Tao, Christoph Thiele. 2003-11-04. On multilinear oscillatory integrals, nonsingular and singular. https://arxiv.org/abs/math/0311039

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