Michael Christ, Xiaochun Li, Terence Tao, Christoph Thiele
Published 2003-11-04Version 1
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.
Comments: 24 pages. See also http://www.math.berkeley.edu/~mchrist/preprints.html
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