Bilinear multipliers on weighted Orlicz spaces

被引：0
|
作者：
Uster, Ruya [1 ]
机构：
[1] Istanbul Univ, Fac Sci, Dept Math, Istanbul, Turkiye
来源：
GEORGIAN MATHEMATICAL JOURNAL | 2024年 / 31卷 / 03期
关键词：
Bilinear multipliers; Orlicz spaces; Gelfand-Shilov spaces; weighted spaces; ALGEBRAS; OPERATORS;
D O I：
10.1515/gmj-2023-2099
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let Phi ibe Young functions and omega ibe weights ond,i=1,2,3. A locally integrable function m(xi,eta)ondxdis said to be a bilinear multiplier on dof type(Phi 1,omega 1;Phi 2,omega 2;Phi 3,omega 3)if B-m(f1,f2)(x)=integral d integral df1(xi)f2(eta)m(xi,eta)e2 pi i <xi+eta,x > d xi d eta defines a bounded bilinear operator fromL Phi 1 omega 1(d)xL Phi 2 omega 2(d)toL Phi 3 omega 3(d). We deduce some properties of this class of operators. Moreover, we give the methods to generate bilinear multipliers between weighted Orlicz spaces
引用
收藏
页码：497 / 508
页数：12
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