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Potentials in pluripotential theory

Magnus Carlehed

Annales de la Faculté des sciences de Toulouse : Mathématiques (1999)

  • Volume: 8, Issue: 3, page 439-469
  • ISSN: 0240-2963

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Carlehed, Magnus. "Potentials in pluripotential theory." Annales de la Faculté des sciences de Toulouse : Mathématiques 8.3 (1999): 439-469. <http://eudml.org/doc/73495>.

@article{Carlehed1999,
author = {Carlehed, Magnus},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {pluripotential theory; plurisubharmonic function; pluricomplex Green function; Monge-Ampère measure; pluricomplex potential; logarithmic potential},
language = {eng},
number = {3},
pages = {439-469},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Potentials in pluripotential theory},
url = {http://eudml.org/doc/73495},
volume = {8},
year = {1999},
}

TY - JOUR
AU - Carlehed, Magnus
TI - Potentials in pluripotential theory
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1999
PB - UNIVERSITE PAUL SABATIER
VL - 8
IS - 3
SP - 439
EP - 469
LA - eng
KW - pluripotential theory; plurisubharmonic function; pluricomplex Green function; Monge-Ampère measure; pluricomplex potential; logarithmic potential
UR - http://eudml.org/doc/73495
ER -

References

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  2. [Be-T] Bedford, E. and Taylor, B.A., A new capacity for plurisubharmonic functions, Acta Math.149 (1982), 1-40. Zbl0547.32012MR674165
  3. [Bł1] Błocki, Z.Estimates for the complex Monge-Ampère operator, Bull. Pol. Acad. Sci., Mathematics, 41, no 2 (1993), 151-157. Zbl0795.32003MR1414762
  4. [Bł2] Błocki, Z., The complex Monge-Ampère operator in pluripotential theory, lecture notes. 
  5. [Ca] Carlehed, M., The pluricomplex Green function and related topics in pluripotential theory, Doctoral thesis No 12, 1998, Umeå University, Department of Mathematics. 
  6. [Ce1] Cegrell, U., Pluricomplex energy, Acta Math.180:2 (1998), 187-217. Zbl0926.32042MR1638768
  7. [Ce2] Cegrell, U., The symmetric pluricomplex Green function, Topics in complex analysis, Banach Center Publ.31, Institute of Mathematics, Polish academy of sciences, Warsaw1995. Zbl0831.31008MR1341383
  8. [Ce3] Cegrell, U., Capacities in complex analysis, Vieweg, 1988. Zbl0655.32001MR964469
  9. [Ce4] Cegrell, U., Approximation of plurisubharmonic functions and integration by parts, report no 8, 1998, Mid Sweden University. 
  10. [Ce-T] Cegrell, U., Thorbiörnson, J., Extremal plurisubharmonic functions, Ann. Pol. Math.63:1 (1996), 63-69. Zbl0924.31005MR1373734
  11. [D] Demailly, J.-P., Mesures de Monge-Ampère et mesures pluriharmoniques, Math. Z.194 (1987), 519-564. Zbl0595.32006MR881709
  12. [Ha-Ke] Hayman, W.K., Kennedy, P.B., Subharmonic Functions, vol I, Academic Press, 1976. 
  13. [Hö] Hörmander, L., The analysis of linear partial differential operators I, Springer, 1991 
  14. [Kl] Klimek, M., Pluripotential Theory, Clarendon Press, 1991. Zbl0742.31001
  15. [Ku-J-F] Kufner, A., John, O., Fučík, S., Function spaces, Noordhoff, Leyden1977. Zbl0364.46022
  16. [Lel1] Lelong, P., Fonctionnelles analytiques et fonctions entières (n variables), Les presses de l'université de Montréal, Montreal1968. Zbl0194.38801
  17. [Lel2] Lelong, P., Fonction de Green pluricomplexe et lemmes de Schwarz dans les espaces de Banach, J. Math. Pures Appl.68 (1989), 319-347. Zbl0633.32019MR1025907
  18. [Lem] Lempert, L., Solving the degenerate complex Monge-Ampère equation with one concentrated singularity, Math. Ann.263, no 4 (1983), 515-532. Zbl0531.35020MR707246
  19. [S] Sibony, N., Quelques problèmes de prolongement de courants en analyse complexe, Duke Math. J.52 (1985), 157-197. Zbl0578.32023MR791297

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