Burkholder's function via Monge--Amp\`ere equation
Vasily Vasyunin, Alexander Volberg
TL;DR
This paper introduces a novel method to derive Burkholder's function using the Monge-Ampère equation, offering a different approach from previous techniques in the literature.
Contribution
It presents a new approach to obtain Burkholder's function through Monge-Ampère equations, diverging from traditional methods.
Findings
Derivation of Burkholder's function via Monge-Ampère equation
Comparison with previous methods shows distinct advantages
Potential applications in harmonic analysis and PDEs
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}.
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