Hardy-type inequality with double singular kernels

Alexander Fabricant; Nikolai Kutev; Tsviatko Rangelov

Open Mathematics (2013)

  • Volume: 11, Issue: 9, page 1689-1697
  • ISSN: 2391-5455

Abstract

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A Hardy-type inequality with singular kernels at zero and on the boundary ∂Ω is proved. Sharpness of the inequality is obtained for Ω= B 1(0).

How to cite

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Alexander Fabricant, Nikolai Kutev, and Tsviatko Rangelov. "Hardy-type inequality with double singular kernels." Open Mathematics 11.9 (2013): 1689-1697. <http://eudml.org/doc/269802>.

@article{AlexanderFabricant2013,
abstract = {A Hardy-type inequality with singular kernels at zero and on the boundary ∂Ω is proved. Sharpness of the inequality is obtained for Ω= B 1(0).},
author = {Alexander Fabricant, Nikolai Kutev, Tsviatko Rangelov},
journal = {Open Mathematics},
keywords = {Hardy inequality; Sharp estimates; sharp estimates},
language = {eng},
number = {9},
pages = {1689-1697},
title = {Hardy-type inequality with double singular kernels},
url = {http://eudml.org/doc/269802},
volume = {11},
year = {2013},
}

TY - JOUR
AU - Alexander Fabricant
AU - Nikolai Kutev
AU - Tsviatko Rangelov
TI - Hardy-type inequality with double singular kernels
JO - Open Mathematics
PY - 2013
VL - 11
IS - 9
SP - 1689
EP - 1697
AB - A Hardy-type inequality with singular kernels at zero and on the boundary ∂Ω is proved. Sharpness of the inequality is obtained for Ω= B 1(0).
LA - eng
KW - Hardy inequality; Sharp estimates; sharp estimates
UR - http://eudml.org/doc/269802
ER -

References

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  7. [7] Gradsteyn I.S., Ryzhik I.M., Table of Integrals, Series and Products, Academic Press, New York, 1980 
  8. [8] Maz’ja V.G., Sobolev Spaces, Springer Ser. Soviet Math., Springer, Berlin, 1985 
  9. [9] Nazarov A.I., Dirichlet and Neumann problems to critical Emden-Fowler type equations, J. Global. Optim., 2008, 40(1–3), 289–303 http://dx.doi.org/10.1007/s10898-007-9193-6 Zbl1295.49003
  10. [10] Pinchover Y., Tintarev K., Existence of minimizers for Schrödinger operators under domain perturbations with application to Hardy’s inequality, Indiana Univ. Math. J., 2005, 54(4), 1061–1074 http://dx.doi.org/10.1512/iumj.2005.54.2705 Zbl1213.35216
  11. [11] Shen Y., Chen Z., Sobolev-Hardy space with general weight, J. Math. Anal. Appl., 2006, 320(2), 675–690 http://dx.doi.org/10.1016/j.jmaa.2005.07.044 Zbl1121.46032

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