Journal of Inequalities and Applications 
Volume 1 (1997), Issue 3, Pages 223-238
doi:10.1155/S1025583497000155

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

Abstract

We study the weighted Hardy inequalities on the semiaxis of the form ‖Fu‖2≤C‖F(k)v‖2  (1) for functions vanishing at the endpoints together with derivatives up to the order k−1. The case k=2 is completely characterized.