The boundedness of generalized Bessel-Riesz operators on generalized Morrey spaces

被引：1
|
作者：
Idris, Mochammad [1 ]
Gunawan, Hendra [1 ]
机构：
[1] Bandung Inst Technol, Dept Math, Bandung 40132, Indonesia
来源：
ASIAN MATHEMATICAL CONFERENCE 2016 (AMC 2016) | 2017年 / 893卷
关键词：
generalized Bessel-Riesz operators; Hardy-Littlewood maximal operator; generalized Morrey spaces;
D O I：
10.1088/1742-6596/893/1/012014
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The purpose of this paper is to prove the boundedness of generalized Bessel-Riesz operators on generalized Morrey spaces. The kernel of the operators contain some parameters, one of which is related to Bessel decay. As usual, we use the usual dyadic decomposition, Holder's inequality, a Hedberg-type inequality for the operators, and the boundedness of Hardy-Littlewood maximal operator in the proofs. In addition, we also exploit the relationship between the parameters of the kernel and of the space. We obtain that the norm of the operators is dominated by the norm of the kernels
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页数：4
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