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The operator (ddc)n on complex spaces

  • II Colloque de Wimereux, Mai 1981
  • Conference paper
  • First Online:
Séminaire Pierre Lelong-Henri Skoda (Analyse) Années 1980/81

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 919))

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References

  1. E. Bedford, Extremal plurisubharmonic functions and pluripolar sets in ℂ2. Math. Ann. 249 (1980), 205–233.

    Article  MathSciNet  MATH  Google Scholar 

  2. -, Envelopes of continuous, plurisubharmonic functions. Math. Ann. 251 (1980), 175–183.

    Article  MathSciNet  MATH  Google Scholar 

  3. E. Bedford, Stability of envelopes of holomorphy and the degenerate Monge-Ampère equation.

    Google Scholar 

  4. E. Bedford and B.A. Taylor, The Dirichlet problem for a complex Monge-Ampère equation. Inventiones Math. 37 (1976), 1–44.

    Article  MathSciNet  MATH  Google Scholar 

  5. E. Bedford and B.A. Taylor, Some potential theoretic properties of plurisubharmonic functions.

    Google Scholar 

  6. L. Bungart, Integration on real analytic varieties II. Stokes formula. J. of Math. and Mech. 15 (1966), 1047–1054.

    MathSciNet  MATH  Google Scholar 

  7. H. El Mir. Fonctions plurisousharmoniques et ensembles polaires. in Seminaire Lelong-Skoda (Analyse) Annees 1978/79, Springer Lecture Notes 822 (1980), 61–76.

    Google Scholar 

  8. G. Fischer, Complex Analytic Geometry. Springer Lecture Notes, 538 (1976).

    Google Scholar 

  9. J.E. Fornaess and R. Narasimhan, The Levi problem on complex spaces with singularities, Math. Ann. 248 (1980), 47–72.

    Article  MathSciNet  MATH  Google Scholar 

  10. T. Gamelin and N. Sibony, Subharmonicity for Uniform Algebras, J. of Functional Analysis, 35 (1980), 64–108.

    Article  MathSciNet  MATH  Google Scholar 

  11. M. Herrera, Integration on a semianalytic set. Bull. Soc. Math. France 94 (1966), 141–180.

    MathSciNet  MATH  Google Scholar 

  12. B. Josefson, On the equivalence between locally polar and globally polar sets for plurisubharmonic functions on ℂn, Ark. Math. 16 (1978), 109–115.

    Article  MathSciNet  MATH  Google Scholar 

  13. P. Lelong, Fonctions Plurisousharmoniques et formes Différentielles Positives, Gordon and Breach, 1968.

    Google Scholar 

  14. P. Lelong, Fonctionelles Analytiques et Fonctions Entières (n Variables) Les Presses de ℓ’ Université de Montreal, 1968.

    Google Scholar 

  15. H. Lewy, On a refinement of Evans' law in potential theory. Rendiconti Accad. Naz. dei Lincei, 48 (1970), 1–9

    MathSciNet  MATH  Google Scholar 

  16. R. Richberg, Stetige streng pseudokonvexe Funktionen. Math. Annalen 175 (1968), 257–286.

    Article  MathSciNet  MATH  Google Scholar 

  17. A. Sadullaev, The operator (ddc)n and condenser capacities, Doklady Nauk USSR, 251 (1980), 44–47.

    MathSciNet  Google Scholar 

  18. A. Sadullaev, P-regularity of sets in ℂn. in Analytic Functions, Kozubnik, 1979, Springer Lecture Notes 798 (1980), 402–408.

    Google Scholar 

  19. J. Siciak, Extremal plurisubharmonic functions in ℂn, Proceedings of the first Finnish-Polish Summer School in Complex Analysis, (1977), 115–152.

    Google Scholar 

  20. E. Stein, Singular Integrals and Differentiability Properties of Functions. Princeton U. Press, 1970.

    Google Scholar 

  21. G. Tomassini, Tracce delle funzioni olomorfe sulle sottovarieta analitiche reali d'una varietà complessa, Ann. Scuola Norm. Sup. Pisa, 20 (1966), 31–43.

    MathSciNet  MATH  Google Scholar 

  22. J.B. Walsh, Continuity of envelopes of plurisubharmonic functions, J. Math. Mech. 18 (1968), 143–148.

    MathSciNet  MATH  Google Scholar 

  23. V. Zaharjuta, Extremal plurisubharmonic functions ..., Ann. Pol. Math., 33 (1976), 137–148.

    MathSciNet  Google Scholar 

  24. H. Grauert, Bemerkenswerte pseudokonvexe Mannigfaltigkeiten, Math. Z. 81 (1963), 377–391.

    Article  MathSciNet  MATH  Google Scholar 

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Author information

Author notes

  1. Eric Bedford (Sloan Fellow)

    Present address: Princeton University, 08544, Princeton, New Jersey

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    Authors
    1. Eric Bedford
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    Pierre Lelong Henri Skoda

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    Dedicated to P. Lelong

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    © 1982 Springer-Verlag

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    Bedford, E. (1982). The operator (ddc)n on complex spaces. In: Lelong, P., Skoda, H. (eds) Séminaire Pierre Lelong-Henri Skoda (Analyse) Années 1980/81. Lecture Notes in Mathematics, vol 919. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0097054

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    • DOI: https://doi.org/10.1007/BFb0097054

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    • Publisher Name: Springer, Berlin, Heidelberg

    • Print ISBN: 978-3-540-11482-6

    • Online ISBN: 978-3-540-39147-0

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