27 citations · 37 across the 3 of their papers we have counts for
5 papers
Hypercontractivity in group von Neumann algebras
Marius Junge, Carlos Palazuelos, Javier Parcet +1
In this paper, we provide a combinatorial/numerical method to establish new hypercontractivity estimates in group von Neumann algebras. We will illustrate our method with free grou…
Theory of H_p-spaces for continuous filtrations in von Neumann algebras
Marius Junge, Mathilde Perrin
We introduce Hardy spaces for martingales with respect to continuous filtration for von Neumann algebras. In particular we prove the analogues of the Burkholder/Gundy and Burkholde…
Hypercontractivity for free products
Marius Junge, Carlos Palazuelos, Javier Parcet +2
In this paper, we obtain optimal time hypercontractivity bounds for the free product extension of the Ornstein-Uhlenbeck semigroup acting on the Clifford algebra. Our approach is b…
A noncommutative Davis' decomposition for martingales
Mathilde Perrin
We prove an analogue of the classical Davis' decomposition for martingales in noncommutative L_p-spaces, involving the square functions. We also determine the dual space of the non…
Atomic decomposition and interpolation for Hardy spaces of noncommutative martingales
Turdebek N. Bekjan, Zeqian Chen, Mathilde Perrin +1
We prove that atomic decomposition for the Hardy spaces h_1 and H_1 is valid for noncommutative martingales. We also establish that the conditioned Hardy spaces of noncommutative m…