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Fadlalla, Adib A.

Les boules limites de Caratheodory dans un domaine pseudoconvexe. (French) Zbl 0453.32009

Ann. Fac. Sci. Toulouse, V. Ser., Math. 1, 26-32 (1979).
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scan of Zbl 0453.32009

MSC:

32F45 Invariant metrics and pseudodistances in several complex variables
32T99 Pseudoconvex domains

Keywords:

pseudoconvex domain; Caratheodory limiting ball; boundary behavior of Caratheodory distance

Citations:

Zbl 0279.32012; Zbl 0279.32013; Zbl 0279.32014
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\textit{A. A. Fadlalla}, Ann. Fac. Sci. Toulouse, Math. (5) 1, 26--32 (1979; Zbl 0453.32009)
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References:

[1] H. Behnke and F. Sommer . Analytische Funktionen mehrerer Komplexer Veränderlichen. Uber die Voraussetzungen des Kontinuitätssatzes , Math. Ann. 121 , 356 ( 1950 ). MR 34851 | Zbl 0037.33801 · Zbl 0037.33801
[2] A.A. Fadlalla . The Caratheodory metric near boundaries of pseudoconvex domains . Boll. U.M.I. ( 4 ) 8 ( 1973 ), p. 412 - 418 . MR 338439 | Zbl 0277.32012 · Zbl 0277.32012
[3] A.A. Fadlalla . Le principe du module maximum et la sphère limite de Carathéodory dans un domaine strictement pseudoconvexe,I , Bull. Sc. Math. , 2e série, T. 97 , 1973 , p. 193 - 205 . MR 350070 | Zbl 0279.32012 · Zbl 0279.32012
[4] A.A. Fadlalla . La boule limite de Carathéodory, II , Bull, Sc. Math. , 2e série, T. 97 , 1973 , p. 207 - 215 . MR 350071 | Zbl 0279.32013 · Zbl 0279.32013
[5] A.A. Fadlalla . La boule limite de Carathéodory, III , Bull. Sc. Math. , 2e série, T. 97 , 1973 , p. 217 - 224 . MR 350071 | Zbl 0279.32014 · Zbl 0279.32014
[6] F. Sommer . Komplex-analytische Blätterung reeller Hyperflächen in Cn . Math, Ann. , 137 ( 1959 ), p. 392 - 411 . MR 108821 | Zbl 0092.29903 · Zbl 0092.29903
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.