Revisiting the Marcinkiewicz theorem for non commutative maximal functions

Autor: Cadilhac, Léonard, Ricard, Éric
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
Popis: 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 $L_p$, $1Comment: 17 pages. Results without the positivity assumptions are now more thorough. Submitted
Databáze: arXiv