Real interpolation of vector-valued spaces in non-diagonal case

被引:4
作者
Asekritova, I [1 ]
Krugljak, N
机构
[1] Vaxjo Univ, Sch Math & Syst Engn, SE-35193 Vaxjo, Sweden
[2] Lulea Univ Technol, Dept Math, SE-97233 Lulea, Sweden
关键词
real interpolation; vector-valued spaces;
D O I
10.1090/S0002-9939-04-07714-7
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
It is shown that the formula (l(p0)(s0) (A(0)),..., l(pn)(sn) (A(n))) ((theta) over right arrow ,q) = l(q)(s)((A(0),..., A(n)) ((theta) over right arrow ,q)), where (theta) over right arrow = (theta(0),...,.n) and s = theta(0)s(0)+...+theta(n)s(n) is correct under the restrictions A(n-1) = A(n) and s(n-1) not equal s(n). It is also true if we suppose that A(n) = (A(0), A(1),..., A(n-1)) ((lambda) over right arrow ,p), s(n) not equal lambda(0)s(0) + lambda(1)s(1) +... + lambda(n-1)s(n-1), and the spaces A(0), A(1),..., A(n-1) are functional Banach or quasi-Banach lattices on the same measure space (Omega, mu).
引用
收藏
页码:1665 / 1675
页数:11
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