一类加权Lebesgue空间中非齐次核积分算子的最优搭配参数  

Optimal Matching Parameters for Integral Operators with Non-Homogeneous Kernel in a Class of Weighted Lebesgue Space

作　　者：洪勇 张丽娟 孔荫莹 HONG Yong;ZHANG Lijuan;KONG Yinying(College of Data Science,Guangzhou Huashang College,Guangzhou 511300,China;College of Statistics and Mathematics,Guangdong University of Finance and Economics,Guangzhou 510320,China)

机构地区：[1]广州华商学院数据科学学院,广东广州511300 [2]广东财经大学统计与数学学院,广东广州510320

出　　处：《应用数学》2023年第4期884-890,共7页Mathematica Applicata

基　　金：广东省基础与应用基础研究基金(2022A1515012429);广州华商学院科研团队项目(2021HSKT03)。

摘　　要：通过权函数方法和Hilbert型积分不等式,在以指数函数为权函数的加权Lebesgue空间中,探讨一类非齐次核的积分算子最优搭配参数问题,得到最优搭配参数的充分必要条件和算子范数计算公式,作为应用给出了一些特例.By the weight function method and Hilbert-type integral inequalities,the problems of optimal matching parameters of integral operator with a class of non-homogeneous kernel are discussed in the weighted Lebesgue space with the exponential function as the weight function,and the sufficient necessary conditions for the optimal matching parameters and the formula for the operator norm are obtained,and several special cases are given as applications.

关 键 词：积分算子 HILBERT型积分不等式 算子范数 最优搭配参数 非齐次核 

分 类 号：O178[理学—数学]