On overdetermined Hardy inequalities

Alois Kufner; Herbert Leinfelder

Mathematica Bohemica (1998)

  • Volume: 123, Issue: 3, page 279-293
  • ISSN: 0862-7959

Abstract

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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.

How to cite

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Kufner, Alois, and Leinfelder, Herbert. "On overdetermined Hardy inequalities." Mathematica Bohemica 123.3 (1998): 279-293. <http://eudml.org/doc/248320>.

@article{Kufner1998,
abstract = {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.},
author = {Kufner, Alois, Leinfelder, Herbert},
journal = {Mathematica Bohemica},
keywords = {Hardy’s inequality; weight functions; overdetermined classes; Hardy's inequality; weight functions; overdetermined classes},
language = {eng},
number = {3},
pages = {279-293},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On overdetermined Hardy inequalities},
url = {http://eudml.org/doc/248320},
volume = {123},
year = {1998},
}

TY - JOUR
AU - Kufner, Alois
AU - Leinfelder, Herbert
TI - On overdetermined Hardy inequalities
JO - Mathematica Bohemica
PY - 1998
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 123
IS - 3
SP - 279
EP - 293
AB - 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.
LA - eng
KW - Hardy’s inequality; weight functions; overdetermined classes; Hardy's inequality; weight functions; overdetermined classes
UR - http://eudml.org/doc/248320
ER -

References

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  1. P. Drábek. A. Kufner, The Hardy inequality and Birkhoff interpolation, Bayreuth. Math. Schriften 47(1994). 99-105. (1994) Zbl0818.26010MR1285205
  2. A. Kufner, Higher order Hardy inequalities, Bayreuth. Math. Schriften 44 (1993), 105-146. (1993) Zbl0802.26006MR1224775
  3. T. Kato, Perturbation Theory for Linear Operators, Springer-Verlag, New York, 1966. (1966) Zbl0148.12601MR0203473
  4. A. Kufner C. G.Simader, 10.4171/ZAA/769, Z. Anal. Anwend. 16 (1997), no. 2, 387-403. (1997) Zbl0895.26003MR1459965DOI10.4171/ZAA/769
  5. A. Kufner G. Sinnamon, 10.1006/jmaa.1997.5551, J. Math. Anal. Appl. 213 (1997), 468-486. (1997) MR1470864DOI10.1006/jmaa.1997.5551
  6. 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. (1997) MR1731339
  7. B. Opic A. Kufner, Hardy-Type Inequalities, Longman, Harlow, 1990. (1990) MR1069756
  8. G. Sinnamon, Kufner's conjecture for higher order Hardy inequalities, Real Anal. Exchange 21 (1995/6,), no. 2, 590-603. (1995) Zbl0879.26052MR1407271

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