Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4617770 | Journal of Mathematical Analysis and Applications | 2012 | 10 Pages |
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).
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