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arXiv · 1510.09132

The Endpoint Perturbed Brascamp-Lieb Inequality with Examples

Ruixiang Zhang
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Abstract

We prove the folklore endpoint multilinear $k_j$-plane conjecture originated from the paper \cite{bennett2006multilinear} of Bennett, Carbery and Tao. Along the way we prove a more general result, namely the endpoint multilinear $k_j$-variety theorem. Finally, we generalize our results to the endpoint perturbed Beascamp-Lieb inequality using techniques in this paper.

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Ruixiang Zhang. 2015-11-07. The Endpoint Perturbed Brascamp-Lieb Inequality with Examples. https://doi.org/10.2140/apde.2018.11.555

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