English

A theorem about three quadratic forms

Functional Analysis 2007-10-18 v1

Abstract

We prove a self-improvement property regarding quadratic forms on arbitrary vector spaces. We discuss several consequences of this result, in particular those concerning dimension-free L^p estimates of certain singular integral operators (Riesz transforms).

Keywords

Cite

@article{arxiv.0710.3249,
  title  = {A theorem about three quadratic forms},
  author = {Oliver Dragičević and Sergei Treil and Alexander Volberg},
  journal= {arXiv preprint arXiv:0710.3249},
  year   = {2007}
}

Comments

5 pages

R2 v1 2026-06-21T09:32:58.658Z