Bulletin of the Australian Mathematical Society

Table of Contents - 1989 - Volume 40, Issue 03  

Research Article

Different methods of complex interpolation

Laura Servideia1

a1 Department of Mathematics University of Chicago 5734 S. University Ave Chicago IL 60637 United States of America.

Abstract

We prove that the classic interpolation spaces of Calderón can be defined using spaces of functions that satisfy weaket conditions. For Calderón's second space we use a space of functions defined by Cwickel and Janson; we then modify their definition to find another space of functions which defines Calderón's first space.

(Received November 21 1989)