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math.OA2022
Revisiting the Marcinkiewicz theorem for non commutative maximal functions
Léonard Cadilhac, Éric Ricard
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.…
math.OA2022
Noncommutative maximal ergodic inequalities for amenable groups
Léonard Cadilhac, Simeng Wang
We prove a pointwise ergodic theorem and a maximal inequality for actions of amenable groups on noncommutative measure spaces. To do so, we establish a square function estimate qua…