58 citations · 191 across the 29 of their papers we have counts for
31 papers
Noncommutative maximal inequalities for polynomial ergodic averages
Guixiang Hong, Wenbo Li, Eric Ricard +1
We prove a noncommutative maximal ergodic inequality for averages along polynomial sequences. Let be a trace-preserving automorphism of a semifinite von Neumann algebra $(\math…
Schur tests and estimates for positive semigroups on non commutative
Clément Coine, Mélina Laforge, Éric Ricard
We extend the recent results of Arnold on estimates for Kreiss positive semigroups on -spaces to the non commutative setting, . We also provide a sharp example. Al…
Non-commutative Law of iterated logarithm
Sourav Panja, Éric Ricard, Diptesh Saha
We prove optimal non-commutative analogues of the classical Law of Iterated Logarithm (LIL) for both martingales and sequences of independent (non-commutative) random variables. Th…
Quasi-invariant states with uniformly bounded cocycles
Ameur Dhahri, Eric Ricard
We investigate the notion of quasi-invariant states introduced in [2, 3] from an analytic viewpoint.We give the structures of quasi-invariant states with uniformly bounded cocycles…
Calderón-Zygmund theory with noncommuting kernels via
Antonio Ismael Cano-Mármol, Éric Ricard
We study an alternative definition of the -space associated to a semicommutative von Neumann algebra , first studied by Me…
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.…