An extension of a multidimensional Hilbert-type inequality

Journal of inequalities and applications

Jianhua Zhong¹ 

关键词: Hilbert-type inequality;    weight coefficient;    equivalent form;    operator;    norm;    26D15;    47A05;   

DOI  :  10.1186/s13660-017-1355-6

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, by the use of weight coefficients, the transfer formula and the technique of real analysis, a new multidimensional Hilbert-type inequality with multi-parameters and a best possible constant factor is given, which is an extension of some published results. Moreover, the equivalent forms, the operator expressions and a few particular inequalities are considered.

【 授权许可】

CC BY