Article
Keywords:
Hardy’s inequality; weight functions; overdetermined classes
Summary:
Necessary and sufficient condition on the weights will be derived under which a $k$-th order Hardy inequality holds on classes of functions satisfying more than $k$ "boundary" conditions.
References:
[DK] P. Drábek. A. Kufner:
The Hardy inequality and Birkhoff interpolation. Bayreuth. Math. Schriften 47(1994). 99-105.
MR 1285205 |
Zbl 0818.26010
[K] A. Kufner:
Higher order Hardy inequalities. Bayreuth. Math. Schriften 44 (1993), 105-146.
MR 1224775 |
Zbl 0802.26006
[NS] M. Nasyrova V. Stepanov:
On weighted Hardy inequalities on semiaxis for functions vanishing at the endpoints. J. Inequal. Appl. 1 (1997), no. 3, 223-238.
MR 1731339
[OK] B. Opic A. Kufner:
Hardy-Type Inequalities. Longman, Harlow, 1990.
MR 1069756
[S] G. Sinnamon:
Kufner's conjecture for higher order Hardy inequalities. Real Anal. Exchange 21 (1995/6,), no. 2, 590-603.
MR 1407271 |
Zbl 0879.26052