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Abstrakty
Given a complete hyperbolic domain D ⊂ Cn and a holomorphic map f : D → C, we give a necessary and sufficient condition concerning the existence of K-admissible limit of f, if the corresponding radial limit exist.
Czasopismo
Rocznik
Tom
Strony
15--20
Opis fizyczny
Bibliogr. 13 poz.
Twórcy
autor
- Institute of Mathematics and Computer Science of Academy of Sciences of Republic of Moldova, Kishinev, Moldova, dovbusg@math.md
Bibliografia
- [1] Cima J. A. and Krantz S.G.: The Lindeloef principle and normal functions of several complex variables. Duke Math. J., 50(1983), 303-328
- [2] Dovbush P. V.: On the existence of admissible limits of functions of several complex variables. Sibirsk. Math. Zh., 28(3)(1987), 373-377
- [3] Fefferman C: The Bergman kernel and biholomorphic mappings of pseudoconvex domains. Invent. Math., 26(1974), 1-65
- [4] Gavrilov V.I. and Dovbush P.V.: Normal mappings (a survey). Math. Montisnigri, XIV(2001), 5-61
- [5] Graham I.: Boundary behavior of the Caratheodory and Kobayashi metrics on strongly pseudoconvex domains. Trans. Amer. Math. Soc, 207(1975), 219-240
- [6] Kirnan P.: On the relations between taut, tight and hyperbolic manifolds. Bull. Amer. Math. Soc, 76(1970), 49-51
- [7] Kobayashi S.: Invariant distances on complex manifold and holomorphic maps. J. Math. Soc. Japan, 19(1967), 469-480
- [8] Krantz S. G.: Invariant metrics and the boundary behavior of holomorphic func tions on domains in Cn. J. Geom. Anal., 1(1991), 71-98
- [9] Lehto O. and Virtanen K. I.: Boundary behaviour and normal meromorphic functions. Acta Math., 97(1957), 47-65
- [10] Range R. M.: The Caratheodory metric and holomorphic maps on a class of weakly pseudoconvex domains. Pacific J. Math., 78(1978), 173-189
- [11] Royden H. L.: Remarks on the Kobayashi Metric. Lecture Notes in Math., 185(1971), Springer, 125-137
- [12] Stein E.M.: The Boundary Behavior of Holomorphic Functions of Several Complex Variables. Princeton University Press, Princeton 1972
- [13] Wu H.: Normal families of holomorphic mappings. Acta Math., 119(1967), 193-233
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-AGH4-0005-0083