The Endpoint Perturbed Brascamp-Lieb Inequality with Examples (1510.09132v2)

Published 30 Oct 2015 in math.CA

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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Authors (1)

Ruixiang Zhang

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