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paper

Burkholder's function via Monge--Ampère equation

arXiv:1006.2633

Abstract

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

some misprints were corrected, 40 pages