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arxiv: 1006.2633 · v2 · pith:2B7DUZM2new · submitted 2010-06-14 · 🧮 math.AP · math.CA

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

classification 🧮 math.AP math.CA
keywords burkholderciteequationfunctiondifferentmethodmonge--ampmonge-amp
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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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