On multilinear oscillatory integrals, nonsingular and singular

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

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Classical Analysis and ODEs, 42B10

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http://salesiana.dossiersoluciones.com/handle/123456789/69064

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0311039
 http://arxiv.org/abs/math/0311039

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arXiv