Decoupling inequalities for quadratic forms
Classical Analysis and ODEs
2023-03-22 v2 Number Theory
Abstract
We prove sharp decoupling inequalities for and arbitrary tuples of quadratic forms. Connections to prior results on decoupling inequalities for quadratic forms are also explained. We also include some applications of our results to exponential sum estimates and to Fourier restriction estimates. The proof of our main result is based on scale-dependent Brascamp--Lieb inequalities.
Keywords
Cite
@article{arxiv.2011.09451,
title = {Decoupling inequalities for quadratic forms},
author = {Shaoming Guo and Changkeun Oh and Ruixiang Zhang and Pavel Zorin-Kranich},
journal= {arXiv preprint arXiv:2011.09451},
year = {2023}
}
Comments
v2: corrected following referee reports, 37 pages