Cotype and type of Lorentz function spaces
✍ Scribed by S. Ya. Novikov
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1982
- Tongue
- English
- Weight
- 357 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0001-4346
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Ä 4 Ä 4 Given a sequence of Banach spaces X and a sequence of real numbers in 1, ϱ , the vector-valued Nakano sequence spaces l l p , X consist of ele- In this paper we find the conditions on the Banach spaces X and on the n Ä 4 ŽÄ 4 Ä 4. sequence p for the spaces l l p , X to have cotype q o
## It is shown that a Banach space satisfies Clarkson's inequalities if and only if its "type or cotype constant" is 1, which implies in particular that the notions of Goand G, -Fourier type by I " (161 are equivalent. A sequence of related results is also given. 1991 Maihemaiics Subject Clarrifi