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In this paper, we study the Carath\'{e}odory extremal problems on the Hua domain of the first three types. We give the explicit formula for the Carath\'{e}odory extremal problems between the first three types of Hua domain and the unit ball, which improves the works done on Hua domain and Cartan-egg domain and super-Cartan domain.
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참고문헌 (19)
참고문헌 신청
An Wang / 2007 / Extremal problems on the Cartan-Hartogs domains / 대한수학회지 44 (6) : 1291 ~ 1312
C. Caratheodory / 1932 / Uber die Abbildungen, die durch Systeme von analytischen Funktionen von mehreren Veranderlichen erzeugt werden / Math. Z 34 (1) : 758 ~ 792
D.-W. Ma / 1991 / Boundary behavior of invariant metrics and volume forms on strongly pseudoconvex domains / Duke Math. J 63 (3) : 673 ~ 697
D.-W. Ma / 1997 / Caratheodory extremal maps of ellipsoids / J. Math. Soc. Japan 49 (4) : 723 ~ 739
G. Travaglini / 1983 / An analogue of the Schwarz lemma for bounded symmetric domains / Proc. Amer. Math. Soc. J 83 (1) : 85 ~ 88
C. Caratheodory / 1932 / Uber die Abbildungen, die durch Systeme von analytischen Funktionen von mehreren Veranderlichen erzeugt werden / Math. Z 34 (1) : 758 ~ 792
D.-W. Ma / 1991 / Boundary behavior of invariant metrics and volume forms on strongly pseudoconvex domains / Duke Math. J 63 (3) : 673 ~ 697
D.-W. Ma / 1997 / Caratheodory extremal maps of ellipsoids / J. Math. Soc. Japan 49 (4) : 723 ~ 739
G. Travaglini / 1983 / An analogue of the Schwarz lemma for bounded symmetric domains / Proc. Amer. Math. Soc. J 83 (1) : 85 ~ 88
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