4 papers
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 -…
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_{…