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math.FAOct 17, 2007
2
citations (OpenAlex)
authors
  • Oliver Dragičević
  • Sergei Treil
  • Alexander Volberg
institutions
  • Brown University
  • Institute of Mathematics, Physics, and Mechanics
  • Michigan State University
  • University of Edinburgh
  • University of Ljubljana
arXiv abstractPDF
paper

A theorem about three quadratic forms

arXiv:0710.3249

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).

5 pages

Cited by in corpus (1)

  • Bellman function technique in Harmonic Analysis. Lectures of INRIA Summer School in Antibes, June 2011
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