A Note about Young's Inequality with Different Measures

被引：1

作者：

Mehmood, Saba ^{[1
]}

Eridani, Eridani ^{[1
]}

Fatmawati, Fatmawati ^{[1
]}

机构：

[1] Univ Airlangga, Fac Sci & Technol, Dept Math, Surabaya 60115, Indonesia

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES | 2022年 / 2022卷

关键词：

SUFFICIENT CONDITIONS; INTEGRAL-OPERATORS; MORREY SPACES; BOUNDEDNESS;

D O I：

10.1155/2022/4672957

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The key purpose of this paper is to work on the boundedness of generalized Bessel-Riesz operators defined with doubling measures in Lebesgue spaces with different measures. Relating Bessel decaying the kernel of the operators is satisfying some elementary properties. Doubling measure, Young's inequality, and Minkowski's inequality will be used in proofs of boundedness of integral operators. In addition, we also explore the relation between the parameters of the kernel and generalized integral operators and see the norm of these generalized operators which will also be bounded by the norm of their kernel with different measures.

引用

页数：8

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