1–2 déc. 2022
Le Bois-Marie
Fuseau horaire Europe/Paris

From the Littlewood-Paley-Stein Inequality to the Burkholder-Gundy Inequality

1 déc. 2022, 14:45
45m
Centre de conférences Marilyn et James Simons (Le Bois-Marie)

Centre de conférences Marilyn et James Simons

Le Bois-Marie

35, route de Chartres 91440 Bures-sur-Yvette

Orateur

Prof. Xu ZHENDONG (Université de Bourgogne-Franche-Comté)

Description

We solve a question asked by Xu about the order of optimal constants in the Littlewood-Paley-Stein inequality. This relies on a construction of a special diffusion semi-group associated with a martingale which relates the Littlewood G-function with the martingale square function pointwise. This can also be done in vector-valued and noncommutative cases.

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