The Gustavsson–Peetre method for several Banach spaces

✍ Scribed by Pedro Fernández-Martínez; Luis González; Raúl Romero

• Publisher: John Wiley and Sons
• Year: 2006
• Tongue: English
• Weight: 201 KB
• Volume: 279
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.200310390

✦ Synopsis

Abstract

We extend the Gustavsson–Peetre method to the context of N ‐tuples of Banach spaces. We give estimates for the norm of the interpolated operator. The method is applied to tuples of weighted L ~p~ ‐spaces and to tuples of Orlicz spaces identifying the outcoming spaces in both cases. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)