吉林大学学报（理学版）2018，Vol.56Issue(2)：227-232,6.DOI:10.13413/j.cnki.jdxblxb.2018.02.07
一类具有非齐次核的Hilbert型积分不等式成立的充要条件及其应用
Necessary and Sufficient Condition for a Class of Hilbert-Type Integral Inequality with a Non-homogeneous Kernel and Its Application
摘要
Abstract
By means of methods and techniques of real analysis,we discussed the necessary and sufficient condition and the best constant factor for a class of Hilbert-type integral inequality with a non-homoeneous kernel K (x ,y )=G (xλ1 yλ2 )and studied its application in the operator theory.关键词
非齐次核/Hilbert型积分不等式/充要条件/最佳常数因子/有界线性算子/算子范数Key words
non-homoeneous kernel/Hilbert-type integral inequality/necessary and sufficient condition/the best constant factor/bounded linear operator/norm of operator分类
数理科学引用本文复制引用
洪勇,温雅敏..一类具有非齐次核的Hilbert型积分不等式成立的充要条件及其应用[J].吉林大学学报（理学版）,2018,56(2):227-232,6.基金项目
国家自然科学基金(批准号:61300204). （批准号:61300204）
