Citation
Wd. Evans et B. Opic, Real interpolation with logarithmic functors and reiteration, CAN J MATH, 52(5), 2000, pp. 920-960
Citations number
25
Categorie Soggetti
Mathematics
Journal title
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES
ISSN journal
0008414X
→ ACNP
Volume
52
Issue
5
Year of publication
2000
Pages
920 - 960
Database
ISI
SICI code
0008-414X(200010)52:5<920:RIWLFA>2.0.ZU;2-I
Abstract
We present "reiteration theorems" with limiting values theta = 0 and theta
= 1 for a real interpolation method involving broken-logarithmic functors.
The resulting spaces lie outside of the original scale of spaces and to des
cribe them new interpolation functors are introduced. For an ordered couple
of (quasi-) Banach spaces similar results were presented without proofs by
Doktorskii in [D].