Mesures de Monge-Ampère et mesures pluriharmoniques

J.-P. Demailly

Séminaire Équations aux dérivées partielles (Polytechnique) (1985-1986)

  • page 1-15

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Demailly, J.-P.. "Mesures de Monge-Ampère et mesures pluriharmoniques." Séminaire Équations aux dérivées partielles (Polytechnique) (1985-1986): 1-15. <http://eudml.org/doc/111894>.

@article{Demailly1985-1986,
author = {Demailly, J.-P.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {several complex variables; pluricomplex Green function; hyperconvex domain; Stein manifold; Dirichlet problem; complex Monge-Ampère operator; logarithmic pole; pluriharmonic measures},
language = {fre},
pages = {1-15},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Mesures de Monge-Ampère et mesures pluriharmoniques},
url = {http://eudml.org/doc/111894},
year = {1985-1986},
}

TY - JOUR
AU - Demailly, J.-P.
TI - Mesures de Monge-Ampère et mesures pluriharmoniques
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1985-1986
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 15
LA - fre
KW - several complex variables; pluricomplex Green function; hyperconvex domain; Stein manifold; Dirichlet problem; complex Monge-Ampère operator; logarithmic pole; pluriharmonic measures
UR - http://eudml.org/doc/111894
ER -

References

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  1. [1] E. Bedford and B.A. Taylor: The Dirichlet problem for the complex Monge-Ampère equation; Invent. Math.37 (1976), pp.1-44. Zbl0315.31007MR445006
  2. [2] E. Bedford and B.A. Taylor: A new capacity for plurisubharmonic functions; Acta Math.149 (1982), pp.1-41. Zbl0547.32012MR674165
  3. [3] H. Bremermann: On a generalized Dirichlet problem for plurisubharmonic functions and pseudoconvex domains Characterization of Šilov boundaries; Trans. Amer. Math. Soc.91 (1959), pp.246-276. Zbl0091.07501MR136766
  4. [4] G. Choquet: Existence et unicité des représentations intégrales au moyen des points extrêmaux dans les cônes convexes; Sém. Bourbaki, exposé n°139, 15 p., (Déc 1956). Zbl0121.09204
  5. [5] J.P. Demailly: Mesures de Monge-Ampère et caractérisation géométrique des variétés algébriques affines; mémoire Soc. Math. France n°19 (nouvelle série), supplément au Bull. S.M.F., t.113 (1985). Zbl0579.32012MR813252
  6. [6] J.P. Demailly: Mesures de Monge-Ampère et mesures pluriharmoniques; Prepub. Univ. de Grenoble I, Institut Fourier. Zbl0602.31006
  7. [7] K. Diederich and J.E. Fornaess: Pseudoconvex domains: bounded strictly plurisubharmonic functions; Inv. Math.39 (1977), pp. 129-141. Zbl0353.32025MR437806
  8. [8] N. Kerzman and J.-P. Rosay: Fonctions plurisousharmoniques d'exhaustion bornées et domaines taut; Math. Ann.257 (1981), n°2, pp.171-184. Zbl0451.32012MR634460
  9. [9] M. Klimek: Extremal plurisubharmonic functions and invariant pseudo-distances; Bull. Soc. Math. France113 (1985), pp.123-142. Zbl0584.32037MR820321
  10. [10] L. Lempert: La matrique de Kobayashi et la représentation des domaines sur la boule; Bull. Soc. Math. France109 (1981), pp.427-474. Zbl0492.32025MR660145
  11. [11] L. Lempert: Solving the degenerate Monge-Ampère equation with one concentrated singularity; Math. Ann.263 (1983), pp. 515-532. Zbl0531.35020MR707246
  12. [12] R. Phelps: Lectures on Choquet's theorem; Van Nostrand Math. Studies n°7, Princeton, New-Jersey, 1966. Zbl0135.36203MR193470
  13. [13] J. Siciak: On some extremal functions and their applications in the theory of analytic functions of several complex variables; Trans. Amer. Math. Soc.105 (1962), pp.322-357. Zbl0111.08102MR143946
  14. [14] J. Siciak: Extremal plurisubharmonic functions in Œ n; Ann. Polon. Math.39 (1981), pp. 175-211. Zbl0477.32018

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