ON INVERSES OF THE HOLDER INEQUALITY

被引：9
|
作者：
ZHUANG, YD
机构：
[1] Department of Mathematics, Yangzhou Teacher College, Yangzhou
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1991年 / 161卷 / 02期
关键词：
D O I：
10.1016/0022-247X(91)90351-Y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let (X, Σ, μ) be a finite measure space, Lp = Lp(X, Σ, μ) be the space of all pth power positive integrable functions over (X, Σ, μ), p > 1, 1 p + 1 q = 1, then for f, g ε{lunate} Lp the Hölder inequality ∥ fg ∥1 ≤ ∥ f ∥p ∥ g ∥q holds, where ∥ f ∥p = (∝Xfp dμ) 1 p. In this paper, we discuss its inverses. © 1991.
引用
收藏
页码：566 / 575
页数：10
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