Pathwise versions of the Burkholder-Davis-Gundy inequality

preprint2015arXivOpen access

Abstract

We present a new proof of the Burkholder-Davis-Gundy inequalities for 1≤p<∞1\leq p<\infty. The novelty of our method is that these martingale inequalities are obtained as consequences of elementary deterministic counterparts. The latter have a natural interpretation in terms of robust hedging.

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