Bilinear multipliers on Orlicz spaces on locally compact groups

被引：0
|
作者：
Osancliol, Alen [1 ]
Oztop, Serap [2 ]
机构：
[1] Istanbul Beykent Univ, Fac Arts & Sci, Dept Math, TR-34500 Istanbul, Turkiye
[2] Istanbul Univ, Fac Sci, Dept Math, TR-34134 Istanbul, Turkiye
来源：
JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 2023年 / 14卷 / 04期
关键词：
Bilinear multipliers; Orlicz spaces; Locally compact abelian groups; Feicthinger algebra; p-Convex; q-Concave; Boyd indices; ALGEBRAS;
D O I：
10.1007/s11868-023-00551-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We generalize the theory of bilinear multipliers acting on Orlicz spaces from Rn to locally compact abelian groups. We focus on describing these bilinear multipliers from the point of viewof abstract harmonic analysis. We obtain separate necessary and sufficient conditions for the existence and boundedness of such bilinear multipliers.
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页数：23
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