文章基本信息
- 标题：The approximation property of some vector valued Sobolev-Slobodeckij spaces
- 本地全文：下载
- 作者：Carlos Bosch ; Salvador Pérez-Esteva ; Joaquín Motos 等
- 期刊名称：International Journal of Mathematics and Mathematical Sciences
- 印刷版ISSN：0161-1712
- 电子版ISSN：1687-0425
- 出版年度：1992
- 卷号：15
- 期号：3
- 页码：425-433
- DOI：10.1155/S0161171292000577
- 出版社：Hindawi Publishing Corporation
- 摘要：
In this paper we consider the Sobolev-Slobodeckij spaces W m , p ( ℜ n , E ) where E is a strict ( L F ) -space, m ∈ ( 0 , ∞ ) \ ℕ and p ∈ [ 1 , ∞ ) . We prove that W m , p ( ℜ n , E ) has the approximation property provided E has it, furthermore if E is a Banach space with the strict approximation property then W m , p ( ℜ n , E ) has this property.
