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THE EXTREMAL PROBLEM ON HUA DOMAIN

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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.

Abstract

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.

참고문헌 (19)

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  19. W. P. Yin, "Extremal problems on super-Cartan domain of the first type", Complex Var. Theory Appl, 48(5), pp.441~452 (2003)

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