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Weighted maximal inequalities for martingales

Prelegent(ci)
Adam Osękowski
Afiliacja
Uniwersytet Warszawski
Termin
25 października 2012 12:15
Pokój
p. 3260
Seminarium
Seminarium Zakładu Rachunku Prawdopodobieństwa

The purpose of the talk is to establish the following extension of a classical result of Doob. We will determine the best constants in the weighted weak-type inequalities for the martingale maximal function. The proof will rest on the existence of a certain class of special functions which enjoy an appropriate concavity condition.