On Multilinear Oscillatory Integrals, Nonsingular and Singular

نویسندگان

  • MICHAEL CHRIST
  • XIAOCHUN LI
  • CHRISTOPH THIELE
چکیده

Basic questions concerning nonsingular multilinear operators with oscillatory factors are posed and partially answered. L norm inequalities are established for multilinear integral operators of Calderón-Zygmund type which incorporate oscillatory factors e iP , where P is a real-valued polynomial. A related problem concerning upper bounds for measures of sublevel sets is solved.

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تاریخ انتشار 2005