A dual approach to Burkholder's $L^p$ estimates

Rodrigo Bañuelos; Tomasz Gałązka; Adam Osękowski

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arXiv · 2006.08082

A dual approach to Burkholder's $L^p$ estimates

Rodrigo Bañuelos·Tomasz Gałązka·Adam Osękowski

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Abstract

The paper contains an alternative proof of the celebrated $L^p$ estimates for differentially subordinate martingales established by Burkholder and Wang in the eighties and nineties. The approach links the validity of the estimate to the existence of a lower solution to a novel boundary value problem.

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Rodrigo Bañuelos, Tomasz Gałązka, Adam Osękowski. 2020-06-15. A dual approach to Burkholder's $L^p$ estimates. https://arxiv.org/abs/2006.08082

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