English

Burkholder's function via Monge--Amp\`ere equation

Analysis of PDEs 2011-01-10 v2 Classical Analysis and ODEs

Abstract

We will show how to get Burkholder's function from \cite{Bu1} by using Monge-Amp\'ere equation. This method is quite different from those in the series of Burkholder's papers \cite{Bu1}--\cite{Bu7}.

Cite

@article{arxiv.1006.2633,
  title  = {Burkholder's function via Monge--Amp\`ere equation},
  author = {Vasily Vasyunin and Alexander Volberg},
  journal= {arXiv preprint arXiv:1006.2633},
  year   = {2011}
}

Comments

some misprints were corrected, 40 pages

R2 v1 2026-06-21T15:35:44.169Z