A Schwarz lemma on complex ellipsoids

• Autorzy: Hidetaka Hamada
• Języki publikacji: EN

Abstrakty

EN

We give a Schwarz lemma on complex ellipsoids.

Słowa kluczowe

EN

Schwarz lemma; complex ellipsoid; extreme point; balanced domain; Minkowski function; geodesics

Kategorie tematyczne

• 32A10: Holomorphic functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1997
• Tom: 67
• Numer: 3
• Strony: 269-275

Daty

wydano

1997

otrzymano

1996-04-29

poprawiono

1996-11-20

Twórcy

autor

Hidetaka Hamada

• Faculty of Engineering, Kyushu Kyoritsu University, Jiyugaoka, Yahatanishi-ku, Kitakyushu 807, Japan

Bibliografia

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• [3] M. Jarnicki and P. Pflug, Invariant Distances and Metrics in Complex Analysis, de Gruyter, Berlin, 1993.
• [4] L. Lempert, Holomorphic retracts and intrinsic metrics in convex domains, Anal. Math. 8 (1982), 257-261.
• [5] L. Lempert, Intrinsic distances and holomorphic retracts, in: Complex Analysis and Applications '81, Bulgar. Acad. Sci., Sophia, 1984, 341-364.
• [6] H. L. Royden and P. M. Wong, Carathéodory and Kobayashi metrics on convex domains, preprint.
• [7] J. P. Vigué, Un lemme de Schwarz pour les domaines bornés symétriques irréductibles et certains domaines bornés strictement convexes, Indiana Univ. Math. J. 40 (1991), 293-304.
• [8] J. P. Vigué, Le lemme de Schwarz et la caractérisation des automorphismes analytiques, Astérisque 217 (1993), 241-249.