Abstract
A minimal extension of the real euclidean norm to ℂn is introduced and some complex analytic properties of its unit ball are studied.
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References
Kritikos, N.: Über analytische Abbildungen einer Klasse von vierdimensionalen Gebieten. Math. Ann.99, 321–341 (1928).
Rosay, J. P.: Sur une characterization de la boule parmi des domaines de ℂn par son groupe d'automorphismes. Ann. Inst. Fourier, Grenoble29, 91–97 (1979).
Rudin, W.: Function Theory in the Unit Ball of ℂn. Berlin-Heidelberg-New York: Springer. 1980.
Sadullaev, A.: Extremal plurisubharmonic function for the unit ball (Russian). Ann. Pol. Math.46, 433–437 (1985).
Siciak, J.: Extremal plurisubharmonic functions in ℂn. Ann. Pol. Math.39, 175–211 (1981).
Vesentini, E.: Variations on a theme of Carathéodory. Ann. Scuola Norm. Sup. Pisa7, 39–68 (1979).
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Research supported partially by Fulbright Grant (1986–1987) at Universität Osnabrück-Abteilung Vechta.
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Hahn, K.T., Pflug, P. On a minimal complex norm that extends the real euclidean norm. Monatshefte für Mathematik 105, 107–112 (1988). https://doi.org/10.1007/BF01501163
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DOI: https://doi.org/10.1007/BF01501163