Burkholder's function via Monge--Ampère equation

Details Burkholder's function via Monge--Ampère equation Burkholder's function via Monge--Ampère equation

2010-06-14

arxiv.org/abs/1006.2633v2

Mathematics

Analysis of PDEs

some misprints were corrected, 40 pages

Scientific paper

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}.

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