Fonction de Green pluricomplexe et mesures pluriharmoniques

Jean-Pierre Demailly

Séminaire de théorie spectrale et géométrie (1985-1986)

  • Volume: 4, page 131-143
  • ISSN: 1624-5458

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Demailly, Jean-Pierre. "Fonction de Green pluricomplexe et mesures pluriharmoniques." Séminaire de théorie spectrale et géométrie 4 (1985-1986): 131-143. <http://eudml.org/doc/114251>.

@article{Demailly1985-1986,
author = {Demailly, Jean-Pierre},
journal = {Séminaire de théorie spectrale et géométrie},
keywords = {generalized Green function; Monge-Ampère equation; logarithmic pole},
language = {fre},
pages = {131-143},
publisher = {Institut Fourier},
title = {Fonction de Green pluricomplexe et mesures pluriharmoniques},
url = {http://eudml.org/doc/114251},
volume = {4},
year = {1985-1986},
}

TY - JOUR
AU - Demailly, Jean-Pierre
TI - Fonction de Green pluricomplexe et mesures pluriharmoniques
JO - Séminaire de théorie spectrale et géométrie
PY - 1985-1986
PB - Institut Fourier
VL - 4
SP - 131
EP - 143
LA - fre
KW - generalized Green function; Monge-Ampère equation; logarithmic pole
UR - http://eudml.org/doc/114251
ER -

References

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  1. [1] E. BEDFORD and B.A. TAYLOR. - The Dirichlet problem for the complex Monge-Axnpère equation, Invent. Math., 37 ( 1976), 1-44. Zbl0315.31007MR445006
  2. [2] E. BEDFORD and B.A. TAYLOR. - A new capacity for plurisubhaimonic fonctions, Acta Math., 140 ( 1982), 1-41. Zbl0547.32012MR674165
  3. [3] H. BREMERMANN. - On A generalised Dirichlet problem for plurisubharmonic functions. Characterization of Šilov boundaries, Trans. Amer. Math. Soc., 91 ( 1959), 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. (Dec. 1956). Zbl0121.09204
  5. [5] J.-P. DEMAILLY. - Mesures de Monge-Ampère et caractérisation géométrique des variétés algébriques affines, mémoire (nouvelle série) n° 19, Soc. Math. de France, 1985. Zbl0579.32012MR813252
  6. [6] J.-P. DEMAILLY. - Mesures de Monge-Ampère et mesures pluriharmoniques, Prépublication n° 58, Univ. de Grenoble I, Institut Fourier, 1986. Zbl0595.32006MR874578
  7. [7] K. DIEDERICH and J.E. FORNAESS. - Pseudoconvex domains : bounded strictly plurisubharmonic functions, Invent. Math., 30 (1977), 129-141. Zbl0353.32025MR437806
  8. [8] N. KERZMAN and J.-P. ROSAY. - Fonctions plurisousharmoniques d'exhaustion bornées et domaines taut, Math. Ann., 257 ( 1981), 171-184. Zbl0451.32012MR634460
  9. [9] M. KLIMEK. - Extremal plurisubharmonic functions and invariant pseudodistances, Bull. Soc. Math. France, 113 ( 1985), 123-142. Zbl0584.32037MR820321
  10. [10] L. LEMPERT. - La métrique de Kobayashi et la représentation des domaines sur la boule, Bull. Soc. Math. France, 109 ( 1981), 427-474. Zbl0492.32025MR660145
  11. [11] L. LEMPERT. - Solving the degenerate Monge-Ampère equation with one concentrated singularity,, Math. Ann., 263 ( 1983), 515-532. Zbl0531.35020MR707246
  12. [12] O. PERRON. - Eine neue Behandlung der ersten Randwertaufgabe für Δu = 0, Math. Z., 18 ( 1923), 42-54. Zbl49.0340.01MR1544619JFM49.0340.01
  13. [13] R. PHELPS. - Lectures on Choquet's theorem, Van Nostrand Math. Studies n° 7, Princeton, New Jersey, 1966. Zbl0135.36203MR193470
  14. [14] 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), 322-357. Zbl0111.08102MR143946
  15. [15] J. SICIAK. - , Ann. Polon. Math., 39 ( 1981), 175-211. Zbl0477.32018MR617459

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