Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
We obtain an extension of Jack-Miller-Mocanu's Lemma for holomorphic mappings defined in some Reinhardt domains in $ℂ^n$. Using this result we consider first and second order partial differential subordinations for holomorphic mappings defined on the Reinhardt domain $B_{2p}$ with p ≥ 1.
Słowa kluczowe
Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
179-191
Opis fizyczny
Daty
wydano
1997
otrzymano
1996-04-02
Twórcy
autor
- Faculty of Mathematics, Babeş-Bolyai University,1 M. Kogălniceanu Str., 3400 Cluj-Napoca, Romania
autor
- Faculty of Mathematics, Babeş-Bolyai University,1 M. Kogălniceanu Str., 3400 Cluj-Napoca, Romania
Bibliografia
- [C] B. Chabat, Introduction à l'analyse complexe, tome II, Mir, Moscou, 1990.
- [GW] S. Gong and S. K. Wang, A necessary and sufficient condition that biholomorphic mappings are starlike on a class of Reinhardt domains, Chinese Ann. Math. Ser. B 13 (1) (1992), 95-104.
- [GWQ] S. Gong, S. K. Wang and Q. Yu, Biholomorphic convex mappings of ball in $ℂ^n$, Pacific J. Math. 161 (1993), 287-306.
- [K] K. Kikuchi, Starlike and convex mappings in several complex variables, Pacific J. Math. 44 (1973), 569-580.
- [KO1] G. Kohr, On some partial differential subordinations for holomorphic mappings in $ℂ^n$, Libertas Math. 115 (1996), 129-142.
- [KO2] G. Kohr and M. Kohr-Ile, Partial differential subordinations for holomorphic mappings of several complex variables, Studia Univ. Babeş-Bolyai Math. 60 (4) (1995), 46-62.
- [KO3] G. Kohr and P. Liczberski, General partial differential subordinations for holomorphic mappings in $ℂ^n$, Math. Nachr., to appear.
- [KO4] G. Kohr and C. Pintea, An extension of Jack-Miller-Mocanu's Lemma for holomorphic mappings defined on some domains in $ℂ^n$, to appear.
- [L] P. Liczberski, Jack's Lemma for holomorphic mappings in $ℂ^n$, Ann. Univ. Mariae Curie-Skłodowska Sect. A 40 (1986), 131-140.
- [MM1] S. S. Miller and P. T. Mocanu, Differential subordinations and inequalities in the complex plane, J. Math. Anal. Appl. 65 (1978), 289-305.
- [MM2] S. S. Miller and P. T. Mocanu, Differential subordinations and inequalities in the complex plane, J. Differential Equations 67 (1987), 199-211.
- [S1] T. J. Suffridge, The principle of subordination applied to functions of several variables, Pacific J. Math. 33 (1970), 241-248.
- [S2] T. J. Suffridge, Starlikeness, convexity and other geometric properties of holomorphic maps in higher dimensions, in: Lecture Notes in Math. 599, Springer, 1976, 146-159.
Typ dokumentu
Bibliografia
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Identyfikator YADDA
bwmeta1.element.bwnjournal-article-apmv65z2p179bwm