3 papers
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…