On the Signed Small Ball Inequality

Mathematics – Classical Analysis and ODEs

Scientific paper

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10 pages

Scientific paper

This paper is a companion to our prior paper arXiv:0705.4619 on the `Small
Ball Inequality in All Dimensions.' In it, we address a more restrictive
inequality, and obtain a non-trivial, explicit bound, using a single essential
estimate from our prior paper. The prior bound was not explicit and much more
involved.

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