Javier Parcet

activity

20032005

most citedGundy's decomposition for non-commutative martingales and applications

1 citations · 2 across the 14 of their papers we have counts for

collaborators

Showing 2003Show all

8 papers · 1 filter

math.OA2003

B-convex operator spaces

Javier Parcet

The notion of B-convexity for operator spaces, which a priori depends on a set of parameters indexed by $Σ$ , is defined. Some of the classical characterizations of this geometric n…

math.OA2003

Quantized orthonormal systems: A non-commutative Kwapień theorem

José García-Cuerva, Javier Parcet

The concepts of Riesz type and cotype of a given Banach space are extended to a non-commutative setting. First, the Banach space is replaced by an operator space. The notion of qua…

math.RT2003

Sharp Fourier type and cotype with respect to compact semisimple Lie groups

José García-Cuerva, José Manuel Marco, Javier Parcet

Sharp Fourier type and cotype of Lebesgue spaces and Schatten classes with respect to an arbitrary compact semisimple Lie group are investigated. In the process, a local variant of…

math.FA2003

Vector-valued Hausdorff-Young inequality on compact groups

José García-Cuerva, Javier Parcet

The main purpose of this paper is to study the validity of the Hausdorff-Young inequality for vector-valued functions defined on a non-commutative compact group. The natural contex…

math.CO2003

On the natural representation of $S (Ω)$ into $L^{2} (P (Ω))$ : Discrete harmonics and Fourier transform

José Manuel Marco, Javier Parcet

Let $Ω$ denote a non-empty finite set. Let $S (Ω)$ stand for the symmetric group on $Ω$ and let us write $P (Ω)$ for the power set of $Ω$ . Let $ρ : S (Ω) \to U (L^{2} (P (Ω)))$ be the left…

math.OA2003

Non-commutative Khintchine type inequalities associated with free groups

Javier Parcet, Gilles Pisier

Let $\Free_n$ denote the free group with $n$ generators $g_{1}, g_{2}, ..., g_{n}$ . Let $λ$ stand for the left regular representation of $\Free_n$ and let $τ$ be the standard trace assoc…

B-convex operator spaces

Quantized orthonormal systems: A non-commutative Kwapień theorem

Sharp Fourier type and cotype with respect to compact semisimple Lie groups

Vector-valued Hausdorff-Young inequality on compact groups

On the natural representation of S(Ω) into L2(P(Ω)): Discrete harmonics and Fourier transform

Non-commutative Khintchine type inequalities associated with free groups

On the natural representation of $S (Ω)$ into $L^{2} (P (Ω))$ : Discrete harmonics and Fourier transform