Duke Mathematical Journal

Boundary behavior of invariant metrics and volume forms on strongly pseudoconvex domains

Daowei Ma
Source: Duke Math. J. Volume 63, Number 3 (1991), 673-697.
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Primary Subjects: 32H15
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077296074
Mathematical Reviews number (MathSciNet): MR1121150
Zentralblatt MATH identifier: 0741.32017
Digital Object Identifier: doi:10.1215/S0012-7094-91-06328-3

References

[A] G. J. Aladro, Some consequences of the boundary behavior of the Carathéodory and Kobayashi metrics and applications to normal holomorphic functions, Ph.D. thesis, Pennsylvania State Univ., 1985, Ph.D. dissertation.
Mathematical Reviews (MathSciNet): MR2634225
[C] C. Carathéodory, Über die abbildungen, die durch systeme von analytischen functionen von mehreren veranderlichen erzeugt werden, Math. Z. 34 (1932), 758–792.
Zentralblatt MATH: 0003.40702
[CT] D. W. Catlin, Estimates of invariant metrics on pseudoconvex domains of dimension two, Math. Z. 200 (1989), no. 3, 429–466.
Mathematical Reviews (MathSciNet): MR90e:32029
Zentralblatt MATH: 0661.32030
Digital Object Identifier: doi:10.1007/BF01215657
[E] D. A. Eisenman, Intrinsic measures on complex manifolds and holomorphic mappings, Memoirs of the American Mathematical Society, No. 96, American Mathematical Society, Providence, R.I., 1970.
Mathematical Reviews (MathSciNet): MR41:3807
Zentralblatt MATH: 0197.05901
[G] I. Graham, Boundary behavior of the Carathéodory and Kobayashi metrics on strongly pseudoconvex domains in $C\sp{n}$ with smooth boundary, Trans. Amer. Math. Soc. 207 (1975), 219–240.
Mathematical Reviews (MathSciNet): MR51:8468
Zentralblatt MATH: 0305.32011
[GK] R. E. Greene and S. G. Krantz, Characterizations of certain weakly pseudoconvex domains with noncompact automorphism groups, Complex Analysis Proceedings (University Park, Pa., 1986) ed. S. G. Krantz, Lecture Notes in Math., vol. 1268, Springer, Pannsylvania-Berlin, 1987, pp. 121–157.
Mathematical Reviews (MathSciNet): MR89c:32044
Zentralblatt MATH: 0626.32023
[GR] R. C. Gunning and H. Rossi, Analytic Functions of Several Complex Variables, Prentice-Hall Inc., Englewood Cliffs, New Jersey, 1965.
Mathematical Reviews (MathSciNet): MR31:4927
Zentralblatt MATH: 0141.08601
[M1] D. Ma, Invariant metrics on domains, Ph.D. dissertation, Washington University, St. Louis, 1990.
Mathematical Reviews (MathSciNet): MR2685774
Zentralblatt MATH: 0741.32017
[M2] D. Ma, On iterates of holomorphic maps, to appear in Math. Z.
Mathematical Reviews (MathSciNet): MR1115174
Zentralblatt MATH: 0712.32018
Digital Object Identifier: doi:10.1007/BF02571399
[O] N. Ovrelid, Integral representation formulas and $L\sp{p}$-estimates for the $\bar \partial$-equation, Math. Scand. 29 (1971), 137–160.
Mathematical Reviews (MathSciNet): MR48:2425
Zentralblatt MATH: 0227.35069
[R] H. L. Royden, Remarks on the Kobayashi metric, Proceedings of the Maryland Conference on Several Complex Variables, Lecture Notes in Math., vol. 185, Springer, Berlin, 1987, pp. 136–207.
Mathematical Reviews (MathSciNet): MR304694
Zentralblatt MATH: 0218.32012
[RU] W. Rudin, Function theory in the unit ball of ${\bf C}\sp{n}$, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Science], vol. 241, Springer-Verlag, New York, 1980.
Mathematical Reviews (MathSciNet): MR82i:32002
Zentralblatt MATH: 0495.32001
[S] N. Sibony, A class of hyperbolic manifolds, Recent developments in several complex variables (Proc. Conf., Princeton Univ., Princeton, N. J., 1979) ed. J. Fornaess, Ann. of Math. Stud., vol. 100, Princeton Univ. Press, Princeton, N.J., 1981, pp. 357–372.
Mathematical Reviews (MathSciNet): MR83a:32022
Zentralblatt MATH: 0476.32033

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