摘要
利用权函数方法,讨论拟齐次核Hilbert型重积分不等式的最佳搭配参数,得到最佳搭配参数的若干等价条件及不等式最佳常数因子的表达公式.最后讨论其在奇异积分算子理论中的应用.
By using the weight function method,the optimal matching parameter conditions for Hilbert-type multiple integral inequality with quasi-homogeneous kernel are discussed,several equivalence conditions for optimal matching are obtained,and the formula for the expression of the best constant factor of the inequality is obtained.Finally,their applications to the theory of singular integral operator are discussed.
作者
洪勇
陈强
李真
HONY Yong;CHEN Qiang;LI Zhen(Department of Applied Mathematics,Guangzhou Huashang College,Guangzhou 511300,China;College of Computer Science,Guangdong University of Education,Guangzhou 510303,China;College of Statistics and Mathematics,Guangdong University of Finance and Economics,Guangzhou 510320,China)
出处
《数学年刊（A辑）》
CSCD
北大核心
2022年第2期191-200,共10页
Chinese Annals of Mathematics
基金
国家自然科学基金(No.61772140)的资助。
关键词
拟齐次核
Hilbert型重积分不等式
最佳常数因子
最佳搭配参数
等价条件
有界算子
算子范数
Quasi-homogeneous kernel
Hilbert-type multiple integral inequality
The best constant factor
The optimal matching parameter
Equivalence condition
Bounded operator
Operator norm
