| Title:
|
On maximal overdetermined Hardy's inequality of second order on a finite interval (English) |
| Author:
|
Nasyrova, Maria |
| Author:
|
Stepanov, Vladimir |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
124 |
| Issue:
|
2 |
| Year:
|
1999 |
| Pages:
|
293-302 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A characterization of the weighted Hardy inequality
\left\| Fu \right\| _2 \le C \left\| F"v \right\| _2,\^^MF(0)=F'(0)=F(1)=F'(1)=0
is given. (English) |
| Keyword:
|
weighted Hardy’s inequality |
| MSC:
|
26D10 |
| MSC:
|
34B05 |
| MSC:
|
46N20 |
| idZBL:
|
Zbl 0936.26010 |
| idMR:
|
MR1780698 |
| DOI:
|
10.21136/MB.1999.126245 |
| . |
| Date available:
|
2009-09-24T21:38:09Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126245 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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[4] Edmunds D. E., Stepanov V. D.: The measure of non-compactness and approximation numbers of certain Volterra integral operators.Math. Ann. 298 (1994), 41-66. Zbl 0788.45013, MR 1252816, 10.1007/BF01459724 |
| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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[9] Kufner A., Sinnamon G.: Overdetermined Hardy inequalities.J. Math. Anal. Appl. 213 (1997), 468-486. Zbl 0895.26004, MR 1470864, 10.1006/jmaa.1997.5551 |
| Reference:
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[10] Kufner A., Wannebo A.: Some remarks on the Hardy inequality for higher order derivatives.General Inequalities VI. Internat. Series of Numer. Math. Vol. 103, Birkhäuser Verlag, Basel, 1992, pp. 33-48. Zbl 0766.26014, MR 1212994 |
| Reference:
|
[11] Nasyrova M., Stepanov V.: On weighted Hardy inequalities on semiaxis for functions vanishing at the endpoints.J. InequaL Appl. 1 (1997), 223-238. Zbl 0894.26007, MR 1731339 |
| Reference:
|
[12] Nasyrova M.: Overdetermined weighted Hardy inequalities on semiaxis.Proceedings of Dehli conference. To appear. Zbl 1006.26014, MR 1974802 |
| Reference:
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[13] Opic B., Kufner A.: Hardy-type Inequalities.Pitman Research Notes in Math., Series 219, Longman Sci&Tech., Harlow, 1990. Zbl 0698.26007, MR 1069756 |
| Reference:
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[14] Rudin W.: Functional Analysis.McGraw-Hill Book Company, New York, 1973. Zbl 0253.46001, MR 0365062 |
| Reference:
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[15] Sinnamon G.: Kufner's conjecture for higher order Hardy inequalities.Real Analysis Exchange, 21 (1995/96), 590-603. Zbl 0879.26052, MR 1407271, 10.2307/44152669 |
| Reference:
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[16] Stepanov V. D.: Weighted inequalities for a class of Volterra convolution operators.J. London Math. Soc. (2) 45 (1992), 232-242. Zbl 0703.42011, MR 1171551, 10.1112/jlms/s2-45.2.232 |
| Reference:
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[17] Stepanov V. D.: Weighted norm inequalities of Hardy type for a class of integral operators.J. London Math. Soc. (2) 50 (1994), 105-120. Zbl 0837.26012, MR 1277757, 10.1112/jlms/50.1.105 |
| . |
