Moment inequalities for trigonometric polynomials with spectrum in curved hypersurfaces
Classical Analysis and ODEs
2011-07-07 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1107.1129,
title = {Moment inequalities for trigonometric polynomials with spectrum in curved hypersurfaces},
author = {Jean Bourgain},
journal= {arXiv preprint arXiv:1107.1129},
year = {2011}
}
Comments
18 pages