English

Decoupling for certain quadratic surfaces of low co-dimensions

Classical Analysis and ODEs 2022-01-04 v2 Number Theory

Abstract

We prove sharp pLp\ell^{p}L^{p} decoupling inequalities for 22 quadratic forms in 44 variables. We also recover several previous results (arXiv:1409.1634, arXiv:1501.07224, arXiv:1609.02022, arXiv:1609.04107) in a unified way.

Keywords

Cite

@article{arxiv.1902.03450,
  title  = {Decoupling for certain quadratic surfaces of low co-dimensions},
  author = {Shaoming Guo and Pavel Zorin-Kranich},
  journal= {arXiv preprint arXiv:1902.03450},
  year   = {2022}
}

Comments

v2: revised following referee reports, 22 pages

R2 v1 2026-06-23T07:36:40.208Z