Hardy-type estimates for Dirac operators

Jean Dolbeault; Maria J. Esteban; Javier Duoandikoetxea; Luis Vega

Annales scientifiques de l'École Normale Supérieure (2007)

  • Volume: 40, Issue: 6, page 885-900
  • ISSN: 0012-9593

How to cite

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Dolbeault, Jean, et al. "Hardy-type estimates for Dirac operators." Annales scientifiques de l'École Normale Supérieure 40.6 (2007): 885-900. <http://eudml.org/doc/82729>.

@article{Dolbeault2007,
author = {Dolbeault, Jean, Esteban, Maria J., Duoandikoetxea, Javier, Vega, Luis},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {Dirac operators; Hardy-type inequalities; estimation of eigenvalues},
language = {eng},
number = {6},
pages = {885-900},
publisher = {Elsevier},
title = {Hardy-type estimates for Dirac operators},
url = {http://eudml.org/doc/82729},
volume = {40},
year = {2007},
}

TY - JOUR
AU - Dolbeault, Jean
AU - Esteban, Maria J.
AU - Duoandikoetxea, Javier
AU - Vega, Luis
TI - Hardy-type estimates for Dirac operators
JO - Annales scientifiques de l'École Normale Supérieure
PY - 2007
PB - Elsevier
VL - 40
IS - 6
SP - 885
EP - 900
LA - eng
KW - Dirac operators; Hardy-type inequalities; estimation of eigenvalues
UR - http://eudml.org/doc/82729
ER -

References

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  1. [1] Dolbeault J., Esteban M.J., Loss M., Vega L., An analytical proof of Hardy-like inequalities related to the Dirac operator, J. Funct. Anal.216 (2004) 1-21. Zbl1060.35120MR2091354
  2. [2] Dolbeault J., Esteban M.J., Séré E., On the eigenvalues of operators with gaps. Application to Dirac operators, J. Funct. Anal.174 (2000) 208-226. Zbl0982.47006MR1761368
  3. [3] Dolbeault J., Esteban M.J., Séré E., General results on the eigenvalues of operators with gaps, arising from both ends of the gaps. Application to Dirac operators, J. Eur. Math. Soc.8 (2006) 243-251. Zbl1157.47306MR2239275
  4. [4] Duoandikoetxea J., Vega L., Some weighted Gagliardo–Nirenberg inequalities and applications, Proc. Amer. Math. Soc.135 (2007) 2795-2802. Zbl1120.26009
  5. [5] Filippas S., Tertikas A., Optimizing improved Hardy inequalities, J. Funct. Anal.192 (2002) 186-233. Zbl1030.26018MR1918494
  6. [6] Talman J.D., Minimax principle for the Dirac equation, Phys. Rev. Lett.57 (1986) 1091-1094. MR854208
  7. [7] Thaller B., The Dirac Equation, Texts and Monographs in Physics, Springer-Verlag, Berlin, 1992. Zbl0765.47023MR1219537

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