SOME REAL INTERPOLATION METHODS FOR FAMILIES OF BANACH-SPACES - A COMPARISON

Authors
CARRO MJ NIKOLOVA LI PEETRE J PERSSON LE
Citation
Mj. Carro et al., SOME REAL INTERPOLATION METHODS FOR FAMILIES OF BANACH-SPACES - A COMPARISON, Journal of approximation theory, 89(1), 1997, pp. 26-57
Citations number
24
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Journal of approximation theory → ACNP
ISSN journal
00219045
Volume
89
Issue
1
Year of publication
1997
Pages
26 - 57
Database
ISI
SICI code
0021-9045(1997)89:1<26:SRIMFF>2.0.ZU;2-C
Abstract
We consider certain real interpolation methods for families of Banach spaces. We also define some new such methods obtained by passing to th e limit in the constructions of Sparr and Cobos-Peetre. The relations between all these methods are studied. Characterizations of minimal an d maximal spaces are obtained. Some concrete examples as wt-ii as shar p estimates of the corresponding operator norms are also exhibited. (C ) 1997 Academic Press.