Article ID Journal Published Year Pages File Type
4617770 Journal of Mathematical Analysis and Applications 2012 10 Pages PDF
Abstract

We establish necessary and sufficient conditions for the validity of Hardy inequalities of fractional orders involving weights which are products of power-type functions and slowly varying functions. Consequently, for such weights, we solve Open Problems 1 and 2 mentioned in the book of Kufner and Persson, Weighted Inequalities of Hardy Type (World Scientific Publishing, 2003).

Related Topics
Physical Sciences and Engineering Mathematics Analysis