q-concavity and q-orlicz property on symmetric sequence spaces

Citation
O. Blasco et T. Signes, q-concavity and q-orlicz property on symmetric sequence spaces, TAIWAN J M, 5(2), 2001, pp. 331-352
Citations number
9
Categorie Soggetti
Mathematics
Journal title
TAIWANESE JOURNAL OF MATHEMATICS
ISSN journal
10275487 → ACNP
Volume
5
Issue
2
Year of publication
2001
Pages
331 - 352
Database
ISI
SICI code
1027-5487(200106)5:2<331:QAQPOS>2.0.ZU;2-3
Abstract
We give a general method for constructing symmetric sequence spaces that fo r 1 < q < 2 satisfy a lower q-estimate but fail to be q-concave and, for 2 < q < infinity, have the q-Orlicz property but fail to be q-concave. In par ticular, this gives examples of spaces with the 2-Orlicz property but witho ut cotype 2.