논문KCI 등재
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)
- Kazuo Azukawa, "The invariant pseudometric related to negative plurisubharmonic func-tions", Kodai Math. J, 10(1), pp.83~92 (1987)
- Fran¸cois Berteloot, "Characterization of models in C2 by their automorphism groups, Internat", J. Math, 5(5), pp.619~634 (1994)
- Dan Coman, "Boundary behavior of the pluricomplex Green function", Ark. Mat, 36(2), pp.341~353 (1998)
- Franc Forstneriˇc, "Localization of the Kobayashi metric and the boundary continuity of proper holomorphic mappings", Math. Ann, 279(2), pp.239~252 (1987)
- 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)
- N. Nikolov, "Stability and boundary behavior of the Kobayashi metrics", Acta Math. Hungar, 90(4), pp.283~291 (2001)
- Nikolai Nikolov, "Localization of invariant metrics", Arch. Math, 79(1), pp.67~73 (2002)
- 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
- 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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