𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Limiting real interpolation methods for arbitrary Banach couples

✍ Scribed by Cobos, Fernando; Segurado, Alba

Book ID
118747094
Publisher
Institute of Mathematics of the Polish Academy of Sciences
Year
2012
Tongue
English
Weight
502 KB
Volume
213
Category
Article
ISSN
0039-3223

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Real Interpolation for Families of Banac
Real Interpolation for Families of Banach Spaces and Convexity
✍ D. N. Kutzarova; L. Y. Nikolova; T. Zachariades πŸ“‚ Article πŸ“… 1995 πŸ› John Wiley and Sons 🌐 English βš– 336 KB

We show how the geometrical properties of uniform convexity and uniformly non-e: are inherited by real interpolation spaces for infinite families. ## Preliminaries Let D denote the unit disc {z E (c: IzI < I} and r its boundary. Let -A = { A d y ) : y E r , d , % } 17\*

Limiting reiteration for real interpolat
Limiting reiteration for real interpolation with slowly varying functions
✍ Amiran Gogatishvili; BohumΓ­r Opic; Walter Trebels πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 287 KB

## Abstract We present reiteration formulae with limiting values __ΞΈ__ = 0 and __ΞΈ__ = 1 for a real interpolation method involving slowly varying functions. Applications to the Lorentz–Karamata spaces, the Fourier transform and the Riesz potential are given. In particular, our results yield improve

New limiting real interpolation methods
New limiting real interpolation methods and their connection with the methods associated to the unit square
✍ Fernando Cobos; Luz M. FernΓ‘ndez-Cabrera; Pilar Silvestre πŸ“‚ Article πŸ“… 2012 πŸ› John Wiley and Sons 🌐 English βš– 164 KB

## Abstract We study limit __K__‐spaces for general Banach couples, not necessarily ordered. They correspond to the extreme choice ΞΈ = 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