A general Extrapolation Theorem for absolutely summing operators

Author: Pellegrino D.   Santos J.   Seoane-Seplveda J. B.  

Publisher: Oxford University Press

ISSN: 0024-6093

Source: Bulletin of the London Mathematical Society, Vol.44, Iss.6, 2012-12, pp. : 1292-1302

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Previous Menu Next

Abstract

In this note, we prove a general version of the Extrapolation Theorem for absolutely summing operators, extending the classical theorem due to B. Maurey [Thormes de factorisation pour les oprateurs valeurs dans les espaces Lp, Soc. Math. France, Asterisque 11, Paris, 1974]. Our result also contains the recent Extrapolation Theorem for Lipschitz p-summing operators as a particular case and also provides new extrapolation-type theorems.