The Hardy-Hilbert's Inequalities in Orlicz Norm
Received:November 21, 2005  Revised:July 06, 2006
Key Words: N-function   Hardy-Hilbert inequality   Young inequality   $\triangle^{\prime}$ condition.  
Fund Project:the National Natural Science Foundation of China (10471130); the Natural Science of Zhejiang Province (Y604003).
Author NameAffiliation
SHENG Bao-huai Department of Mathematics, Shaoxing University, Zhejiang 312000, China 
ZHOU Lin-lin Department of Mathematics, Shaoxing University, Zhejiang 312000, China 
LI Hong-tao Department of Mathematics, Baoji University, Shaanxi 721007, China 
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Abstract:
      The Hardy-Hilbert inequalities in Orlicz norm are investigated. Both the double serical and integral type Hardy-Hilbert inequalities in Orlicz norm are established under the conditions that both the N-function and its complentary N-function satisfy the $\triangle^{\prime}$ condition.
Citation:
DOI:10.3770/j.issn:1000-341X.2007.04.022
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