1 citations · 2 across the 5 of their papers we have counts for
5 papers
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…
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…
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…
Boundedness properties of fractional integral operators associated to non--doubling measures
Jose Garcia-Cuerva, A. Eduardo Gatto
The main purpose of this paper is to investigate the behaviour of fractional integral operators associated to a measure on a metric space satisfying just a mild growth condition, n…
Lipschitz spaces and Calderon-Zygmund operators associated to non-doubling measures
Jose Garcia-Cuerva, A. Eduardo Gatto
In the setting of with an dimensional measure we give several characterizations of Lipschitz spaces in terms of mean oscillations involving We also show that L…