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LOCALIZATION OF AZUKAWA PSEUDOMETRIC

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초록

We prove a localization theorem of Azukawa pseudometric at a local plurisubharmonic peak point of a domain in the complex Euclidean space.

Abstract

We prove a localization theorem of Azukawa pseudometric at a local plurisubharmonic peak point of a domain in the complex Euclidean space.

참고문헌 (9)

  1. Kazuo Azukawa, "The invariant pseudometric related to negative plurisubharmonic func-tions", Kodai Math. J, 10(1), pp.83~92 (1987)
  2. Fran¸cois Berteloot, "Characterization of models in C2 by their automorphism groups, Internat", J. Math, 5(5), pp.619~634 (1994)
  3. Dan Coman, "Boundary behavior of the pluricomplex Green function", Ark. Mat, 36(2), pp.341~353 (1998)
  4. Franc Forstneriˇc, "Localization of the Kobayashi metric and the boundary continuity of proper holomorphic mappings", Math. Ann, 279(2), pp.239~252 (1987)
  5. Ian Graham, "Boundary behavior of the Carath´eodory and Kobayashi metrics on strongly pseudoconvex domains in Cn with smooth boundary", Trans. Amer. Math. Soc, 207, pp.219~240 (1975)
  6. N. Nikolov, "Stability and boundary behavior of the Kobayashi metrics", Acta Math. Hungar, 90(4), pp.283~291 (2001)
  7. Nikolai Nikolov, "Localization of invariant metrics", Arch. Math, 79(1), pp.67~73 (2002)
  8. Nessim Sibony, "class of hyperbolic manifolds, Recent developments in several complex variables (Proc. Conf., Princeton Univ., Princeton, N. J., 1979)", pp.357~372 (1981), Princeton Univ. Press
  9. Ji Ye Yu, "Weighted boundary limits of the generalized Kobayashi-Royden metrics on weakly pseudoconvex domains", Trans. Amer. Math. Soc, 347(2), pp.587~614 (1995)

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