Katirtzoglou, Eleni (1998) Type and cotype of Musielak-Orlicz sequence spaces. Journal of Mathematical Analysis and Applications, 226 (2). pp. 431-455. ISSN 0022-247X
Full text not available from this repository.Abstract
Let φ = (φn) be a Musielak–Orlicz function and lφ the Musielak–Orlicz sequence space generated by φ. It is shown that φ satisfies condition δqiff φ is equivalent to aq-concave function ψ = (ψn). It is also proved thatlφis of cotypeq(typep) if and only if φ satisfies condition δq(δ2and δ*pconditions, respectively). As applications we obtain characterization of the type and cotype of various sequence spaces: Nakano, weighted Orlicz, and Orlicz sequence spaces. Furthermore, a relation betweenq-concavity (p-convexity), lowerq-estimate (upperp-estimate), and cotype (type) of lφ is given.
| Item Type: | Article |
|---|---|
| Official URL: | http://www.sciencedirect.com/science/journal/00222... |
| Additional Information: | © 1998 Academic Press |
| Divisions: | Mathematics |
| Subjects: | Q Science > QA Mathematics |
| Date Deposited: | 04 Dec 2014 10:23 |
| Last Modified: | 11 Dec 2024 22:08 |
| URI: | http://eprints.lse.ac.uk/id/eprint/53353 |
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