Open AccessSharp Hardy-Sobolev Inequalities with General Weights and Remainder Terms
Author(s) -
Yanjun Shen,
Zhihui Chen
Publication year - 2009
Publication title -
journal of inequalities and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.735
H-Index - 50
eISSN - 1029-242X
pISSN - 1025-5834
DOI - 10.1155/2009/419845
Subject(s) - remainder , mathematics , hardy space , inequality , pure mathematics , sobolev space , calculus (dental) , mathematical analysis , algebra over a field , arithmetic , medicine , dentistry
We consider a class of sharp Hardy-Sobolev inequality, where the weights are functions of the distance from a surface. It is proved that the Hardy-Sobolev inequality can be successively improved by adding to the right-hand side a lower-order term with optimal weight and constant