Document Type

Article

Publication Date

9-27-2022

Abstract

We prove a range of Lp bounds for singular Brascamp-Lieb forms with cubical structure. We pass through sparse and local bounds, the latter proved by an iteration of Fourier expansion, telescoping, and the Cauchy-Schwarz inequality. We allow 2m−1 < p with m the dimension of the cube, extending an earlier result that required p = 2m. The threshold 2m−1 is sharp in our theorems.

Comments

This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Mathematische Zeitschrift in 2022 following peer review. The final publication may differ and is available at Springer via https://doi.org/10.1007/s00209-022-03148-8.

A free-to-read copy of the final published article is available here.

Peer Reviewed

1

Copyright

Springer

Available for download on Wednesday, September 27, 2023

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