Multidimensional Hilbert-type Inequality on the Weighted Orlicz Spaces

被引：7

作者：

Krnic, Mario ^{[1
]}

机构：

[1] Fac Elect Engn & Comp, Zagreb 10000, Croatia

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2012年 / 9卷 / 04期

关键词：

Hilbert-type inequality; Hardy-Hilbert type inequality; the weighted Orlicz space; Young function; conjugate function; Luxemburg-Nakano norm;

D O I：

10.1007/s00009-011-0160-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we derive multidimensional Hilbert-type inequality on the weighted Orlicz spaces with considerable attention given to homogeneous kernels of negative degree. As an application, we also deduce Hardy-Hilbert type inequality in one particular case. As a special case, we consider our general method in the case of the weighted Lebesgue spaces.

引用

页码：883 / 895

页数：13

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