New limiting real interpolation methods and their connection with the methods associated to the unit square

✍ Scribed by Fernando Cobos; Luz M. Fernández-Cabrera; Pilar Silvestre

• Book ID: 102496101
• Publisher: John Wiley and Sons
• Year: 2012
• Tongue: English
• Weight: 164 KB
• Volume: 286
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.201100076

✦ Synopsis

Abstract

We study limit K‐spaces for general Banach couples, not necessarily ordered. They correspond to the extreme choice θ = 0, 1 in the realization of the real method as a K‐space. We also show the connection of these limit spaces with interpolation methods defined by the unit square.