广义Hardy-Hilbert积分算子不等式  

Generalized Hardy-Hilbert Integral Operator Inequalities

作　　者：匡继昌[1] 

机构地区：[1]湖南师范大学数学系,长沙410081

出　　处：《北京教育学院学报（自然科学版）》2009年第3期1-7,共7页Journal of Beijing Institute of Education

摘　　要：本文所建立的广义Hardy-Hilbert积分算子不等式,是著名的Hilbert不等式的实质性改进和推广,所求出的该算子的范数统一证明了Hilbert不等式各种参数推广中的最佳常数.Generalized Hardy-Hilbert integral operator inequalities are given in this paper, are substantially improve and extend the celebrated Hilbert integral inequality. The norm of the operators include the best constant factor of the various parameters extensions of Hilbert s inequalities.

关 键 词：广义Hardy-Hilbert不等式 算子 范数 

分 类 号：O178[理学—数学]