Revisiting the Marcinkiewicz theorem for non commutative maximal functions

2022/10/31 by Cadilhac, Léonard, Ricard, Éric
#46L51 46B70 47L52 #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.2210.17201

Abstract

We give an alternative proof of a Marcinkiewicz interpolation theorem for non commutative maximal functions and positive maps, slightly refining earlier versions of the statement. The main novelty is that it provides a substitute for the maximal function of a martingale in L_p, 1

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