20 citations · 27 across the 9 of their papers we have counts for
9 papers
A Non-commutative Individual Ergodic Theorem Along Sparse Random Subsequences
Léonard Cadilhac, Christian Le Merdy, Safoura Zadeh
Let be a semifinite von Neumann algebra, let be a trace-preserving Jordan isomorphism, and let be a random increasing sequence of integers obtained by…
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.…
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…
Spectral multipliers in group algebras and noncommutative Calderón-Zygmund theory
Léonard Cadilhac, José M. Conde-Alonso, Javier Parcet
In this paper we solve three problems in noncommutative harmonic analysis which are related to endpoint inequalities for singular integrals. In first place, we prove that an -…
Lorentz-Shimogaki-Arazy-Cwikel Theorem Revisited
Léonard Cadilhac, Fedor Sukochev, Dmitriy Zanin
We present a new approach to Lorentz-Shimogaki and Arazy-Cwikel Theorems which covers all range of for function spaces and sequence spaces. As a byproduct, we s…
Sum of Free Variables in Fully Symmetric Spaces
Léonard Cadilhac, Eric Ricard
We give a method to obtain, from Voiculescu's inequality, norm estimates for sums of free variables with amalgamation in general fully symmetric spaces. We use these estimates to i…
Majorization, Interpolation and noncommutative Khintchine inequalities
Léonard Cadilhac
Let and . We give a characterization of quasi-Banach interpolation spaces for the couple in terms of two monotonicity prope…
Noncommutative Khintchine inequalities in interpolation spaces of -spaces
Léonard Cadilhac
We prove noncommutative Khintchine inequalities for all interpolation spaces between and with . In particular, it follows that Khintchine inequalities hold in $L_{…
Weak boundedness of Calderón-Zygmund operators on noncommutative -spaces
Léonard Cadilhac
In 2008, J. Parcet showed the weak-boundedness of Calderón-Zygmund operators acting on functions taking values in a von Neumann algebra. We propose a simplified version of…