Weighted Lp-conjecture for locally compact groups

被引：0
|
作者：
Fatemeh Abtahi
Rasoul Nasr-Isfahani
Ali Rejali
机构：
[1] University of Isfahan,Department of Mathematics
[2] Isfahan University of Technology,Department of Mathematical Science
来源：
Periodica Mathematica Hungarica | 2010年 / 60卷
关键词：
Banach algebra; locally compact group; -conjecture; -space; weight function; 43A15; 43A20;
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学科分类号：
摘要：
Let G be a locally compact group, ω be a weight function on G and 1 < p < ∞. Here, we give a sufficient condition for that the weighted Lp-space Lp(G, ω) is a Banach algebra. Also, we get some necessary conditions on G and the weight function ω for Lp(G, ω) to be a Banach algebra. As a consequence, we show that if G is abelian and Lp(G, ω) is a Banach algebra, then G is σ-compact.
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页码：1 / 11
页数：10
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