Moment inequalities for trigonometric polynomials with spectrum in curved hypersurfaces

Details Moment inequalities for trigonometric polynomials with spectrum in curved hypersurfaces Moment inequalities for trigonometric polynomials with spectrum in curved hypersurfaces

2011-07-06

arxiv.org/abs/1107.1129v1

Mathematics

Classical Analysis and ODEs

18 pages

Scientific paper

Using the multilinear theory of oscillatory integral operators, we establish
a square function inequality with implications to moment inequalities for
discrete exponential sums which frequencies lie on curved hyper-surfaces. In
particular a new distributional estimate for toral eigenfunctions is
established.

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