| Title:
|
On overdetermined Hardy inequalities (English) |
| Author:
|
Kufner, Alois |
| Author:
|
Leinfelder, Herbert |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
123 |
| Issue:
|
3 |
| Year:
|
1998 |
| Pages:
|
279-293 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| 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. (English) |
| Keyword:
|
Hardy’s inequality |
| Keyword:
|
weight functions |
| Keyword:
|
overdetermined classes |
| MSC:
|
26D10 |
| idZBL:
|
Zbl 0936.26009 |
| idMR:
|
MR1645446 |
| DOI:
|
10.21136/MB.1998.126066 |
| . |
| Date available:
|
2009-09-24T21:32:13Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126066 |
| . |
| Reference:
|
[DK] P. Drábek. A. Kufner: The Hardy inequality and Birkhoff interpolation.Bayreuth. Math. Schriften 47(1994). 99-105. Zbl 0818.26010, MR 1285205 |
| Reference:
|
[K] A. Kufner: Higher order Hardy inequalities.Bayreuth. Math. Schriften 44 (1993), 105-146. Zbl 0802.26006, MR 1224775 |
| Reference:
|
[Ka] T. Kato: Perturbation Theory for Linear Operators.Springer-Verlag, New York, 1966. Zbl 0148.12601, MR 0203473 |
| Reference:
|
[KSim] A. Kufner C. G.Simader: Hardy inequalities for overdetermined classes of functions.Z. Anal. Anwend. 16 (1997), no. 2, 387-403. Zbl 0895.26003, MR 1459965, 10.4171/ZAA/769 |
| Reference:
|
[KSin] A. Kufner G. Sinnamon: Overdetermined Hardy inequalities.J. Math. Anal. Appl. 213 (1997), 468-486. MR 1470864, 10.1006/jmaa.1997.5551 |
| Reference:
|
[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 |
| Reference:
|
[OK] B. Opic A. Kufner: Hardy-Type Inequalities.Longman, Harlow, 1990. MR 1069756 |
| Reference:
|
[S] G. Sinnamon: Kufner's conjecture for higher order Hardy inequalities.Real Anal. Exchange 21 (1995/6,), no. 2, 590-603. Zbl 0879.26052, MR 1407271 |
| . |
