Subordination theory for holomorphic mappings of several complex variables

• Autorzy: Gabriela Kohr , Mirela Kohr-Ile
• Języki publikacji: EN

Abstrakty

EN

The authors obtain a generalization of Jack-Miller-Mocanu's lemma and, using the technique of subordinations, deduce some properties of holomorphic mappings from the unit polydisc in $ℂ^n$ into $ℂ^n$.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1996
• Tom: 37
• Numer: 1
• Strony: 129-134

Daty

wydano

1996

Twórcy

autor

Gabriela Kohr

• Faculty of Mathematics, Babeş-Bolyai University, R-3400 Cluj-Napoca, Romania

autor

Mirela Kohr-Ile

• Faculty of Mathematics, Babeş-Bolyai University, R-3400 Cluj-Napoca, Romania

Bibliografia

• [1] B. Chabat, Introduction à l'analyse complexe, tome 2, ed. MIR, Moscou, 1990.
• [2] Sh. Gong and S. S. Miller, Partial differential subordinations and inequalities defined on complete circular domain, Comm. Partial Differential Equations, 11 (1986), 1243-1255.
• [3] G. Kohr and M. Kohr-Ile, Partial differential subordinations and inequalities for holomorphic mappings of several complex variables, Ms., to appear.
• [4] P. Liczberski, Jack's Lemma for holomorphic mappings, Ann. Univ. Mariae Curie-Skłodowska, Sect. A, 40 (1986), 131-139.
• [5] S. S. Miller and P. T. Mocanu, Second order differential inequalities in the complex plane, J. Math. Anal. Appl., 65 (1978), 289-305.
• [6] S. S. Miller and P. T. Mocanu, Differential subordinations and univalent functions, Michigan Math. J., 20 (1981), 157-171.
• [7] S. S. Miller and P. T. Mocanu, The theory and applications of second order differential subordinations, Studia Univ. Babeş-Bolyai (Mathematica), 34 (1989), 13-33.
• [8] T. J. Suffridge, The principle of subordination applied to functions of several variables, Pacific J. Math., 33 (1970), 241-248.
• [9] T. J. Suffridge, Starlike and convex maps in Banach spaces, Pacific J. Math., 46 (1973), 575-589.