Interpolation of bilinear operators and compactness

2012/05/31 by da Silva, Eduardo Brandani, Fernandez, Dicesar Lass
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1206.0017

Abstract

The behavior of bilinear operators acting on interpolation of Banach spaces for the ρ method in relation to the compactness is analyzed. Similar results of Lions-Peetre, Hayakawa and Person's compactness theorems are obtained for the bilinear case and the ρ method.

Related

• Interpolation of compact bilinear operators
• General Theorem on Interpolation of Compact Operators
• Use of abstract Hardy spaces, Real interpolation and Applications to bilinear operators
• Compact bilinear operators and paraproducts revisited
• Interpolation of compact operators by the methods of Calderón and Gustavsson-Peetre