English

A Bellman function proof of the $L^2$ bump conjecture

Classical Analysis and ODEs 2014-04-09 v3 Analysis of PDEs

Abstract

We approach the problem of finding the sharp sufficient condition of the boundedness of all two weight Calderon--Zygmund operators. We solve this problem in L2L^2 by writing a formula for a Bellman function of the problem.

Keywords

Cite

@article{arxiv.1202.2406,
  title  = {A Bellman function proof of the $L^2$ bump conjecture},
  author = {Fedor Nazarov and Alexander Reznikov and Sergei Treil and Alexander Volberg},
  journal= {arXiv preprint arXiv:1202.2406},
  year   = {2014}
}

Comments

23 pages, the third version

R2 v1 2026-06-21T20:17:58.706Z