Multilinear Oscillatory Integrals Via Reduction of Dimension

Details Multilinear Oscillatory Integrals Via Reduction of Dimension Multilinear Oscillatory Integrals Via Reduction of Dimension

2011-07-12

arxiv.org/abs/1107.2352v1

Mathematics

Classical Analysis and ODEs

Scientific paper

Christ, Li, Tao, and Thiele have established multilinear oscillatory integral
operator inequalities under severe dimensional restrictions. These restrictions
are relaxed substantially in the present paper, but are by no means eliminated.
The simple method used here has the advantage of yielding power type bounds,
but cannot be expected to extend to the general case.

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