Title of article
Sharp Hardy inequalities of fractional order involving slowly varying functions
Author/Authors
Gurka، نويسنده , , Petr and Opic، نويسنده , , Bohumيr and Vespalec، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2012
Pages
10
From page
728
To page
737
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).
Keywords
Hardy inequality of fractional order , Slowly varying functions
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2012
Journal title
Journal of Mathematical Analysis and Applications
Record number
1562365
Link To Document