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Über das Randverhalten der Bergmanschen Kernfunktion und Metrik für eine spezielle Klasse schwach pseudokonvexer Gebiete des ℂn

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Literatur

  1. Bedford, E., Fornaess, J.E.: A construction of peak functions on weakly pseudoconvex domains. Ann. of Math.107, 555–568 (1978)

    Google Scholar 

  2. Bedford, E., Fornaess, J.E.: Biholomorphic maps of weakly pseudoconvex domains. Duke Math. J.45, 711–719 (1978)

    Google Scholar 

  3. Bergman, S.: The kernel function and conformal mapping. Mathematical surveys V. Providence, Rhode Island: Amer. Math. Soc. 1970

    Google Scholar 

  4. Chalmers, B.: On boundary behaviour of the Bergman kernel function and related domain functionals. Pacific J. Math.29, 243–250 (1969)

    Google Scholar 

  5. Greene, R., Wu, H.: Function theory on manifolds which possesses a pole. Lecture Notes in Math.699, Berlin-Heidelberg-New York: Springer 1979

    Google Scholar 

  6. Hahn, K.T.: On completeness of the Bergman metric and its subordinate metric. Proc. Nat. Acad. Sci. U.S.A.4294 (1973)

  7. Hörmander, L.:L 2-estimates and existence theorems of the\(\bar \partial\)-Operator. Acta Math.113, 89–152 (1965)

    Google Scholar 

  8. Kobayashi, S.: Geometry of bounded domains. Trans. Amer. Math. Soc.92, 267–290 (1959)

    Google Scholar 

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Herbort, G. Über das Randverhalten der Bergmanschen Kernfunktion und Metrik für eine spezielle Klasse schwach pseudokonvexer Gebiete des ℂn . Math Z 184, 193–202 (1983). https://doi.org/10.1007/BF01252857

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  • DOI: https://doi.org/10.1007/BF01252857

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