Journal of Inequalities and Applications
Volume 1 (1997), Issue 3, Pages 223-238

On weighted hardy inequalities on semiaxis for functions vanishing at the endpoints

Masha Nasyrova1 and Vladimir Stepanov2

1Khabarovsk State University, Department of Applied Mathematics, Tichookeanskaya, 136, Khabarovsk 680035, Russia
2Computer Center of the Far-Eastern Branch of the Russian Academy of Sciences, Shelest 118-205, Khabarovsk 680042, Russia

Received 15 July 1996

Copyright © 1997 Masha Nasyrova and Vladimir Stepanov. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We study the weighted Hardy inequalities on the semiaxis of the form Fu2CF(k)v2(1) for functions vanishing at the endpoints together with derivatives up to the order k1. The case k=2 is completely characterized.