Variational estimates for martingale paraproducts

Pavel Zorin-Kranich; Vjekoslav Kova\v{c}

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Variational estimates for martingale paraproducts

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arxiv 1812.09763 v2 pith:FZ5IP7LC submitted 2018-12-23 math.PR math.CA

Variational estimates for martingale paraproducts

Vjekoslav Kova\v{c} , Pavel Zorin-Kranich This is my paper

classification math.PR math.CA

keywords arxivestimatesmartingalevariationalbilinearburkholder--davis--gundychevyrevfiltration

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We show that bilinear variational estimates of Do, Muscalu, and Thiele (arXiv:1009.5187) remain valid for a pair of general martingales with respect to the same filtration. Our result can also be viewed as an off-diagonal generalization of the Burkholder--Davis--Gundy inequality for martingale rough paths by Chevyrev and Friz (arXiv:1704.08053).

Variational estimates for martingale paraproducts

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