# On the best constants in noncommutative Khintchine-type inequalities

@article{Haagerup2006OnTB, title={On the best constants in noncommutative Khintchine-type inequalities}, author={Uffe Haagerup and Magdalena Musat}, journal={Journal of Functional Analysis}, year={2006}, volume={250}, pages={588-624} }

## 29 Citations

### THE NON-COMMUTATIVE KHINTCHINE INEQUALITIES FOR $0

- MathematicsJournal of the Institute of Mathematics of Jussieu
- 2015

We give a proof of the Khintchine inequalities in non-commutative $L_{p}$ -spaces for all $0<p<1$ . These new inequalities are valid for the Rademacher functions or Gaussian random variables, but…

### A reduction method for noncommutative L_p-spaces and applications

- Mathematics
- 2008

We consider the reduction of problems on general noncommutative L p -spaces to the corresponding ones on those associated with finite von Neumann algebras. The main tool is an unpublished result of…

### O A ] 2 3 Ju n 20 08 A reduction method for noncommutative L p-spaces and applications

- Mathematics
- 2009

We consider the reduction of problems on general noncommutative Lp-spaces to the corresponding ones on those associated with finite von Neumann algebras. The main tool is a unpublished result of the…

### Free Hilbert Transforms

- Mathematics
- 2018

We study analogues of classical Hilbert transforms as fourier multipliers on free groups. We prove their complete boundedness on non commutative Lp spaces associated with the free group von Neumann…

### Noncommutative Khintchine and Paley inequalities via generic factorization

- Mathematics
- 2014

We reprove an inequality for Rademacher series with coefficients in the Schatten class $S_1$. Our method yields the same estimate for coefficients after suitable gaps in $S_1$-valued trigonometric…

### Classification of hyperfinite factors up to completely bounded isomorphism of their preduals

- Mathematics
- 2007

Abstract In this paper we consider the following problem: When are the preduals of two hyperfinite (= injective) factors ℳ and (on separable Hilbert spaces) cb-isomorphic (i.e., isomorphic as…

### Paley's inequality for nonabelian groups

- Mathematics
- 2021

This article studies Paley’s theory for lacunary Fourier series on (nonabelian) discrete groups. The results unify and generalize the work of Rudin ([32] Section 8) for abelian discrete groups and…

### Free Hilbert transforms

- Mathematics
- 2017

We study analogues of classical Hilbert transforms as fourier multipliers on free groups. We prove their complete boundedness on non commutative $L^p$ spaces associated with the free group von…

### 2 9 Ju n 20 09 Representation of certain homogeneous Hilbertian operator spaces and applications

- Mathematics
- 2009

Following Grothendieck’s characterization of Hilbert spaces we consider operator spaces F such that both F and F ∗ completely embed into the dual of a C*-algebra. Due to Haagerup/Musat’s improved…

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