k-Fold symmetrical mappings and loewner chains

• Autorzy: Hamada H. , Kohr G.
• Języki publikacji: EN

Abstrakty

EN

Let B be the unit ball in Cn with respect to an arbitrary norm on Cn. In this paper, we give a necessary and su.cient condition that a Loewner chain f(z, t), such that {e-tf(z, t)}t is more than or equal to 0 is a normal family on B, is k-fold symmetrical. As a corollary, we give a necessary and su.cient condition that a normalized locally biholomorphic mapping on B is spirallike of type and k-fold symmetrical. When alpha = 0, this result solves a natural problem that is similar to an open problem posed by Liczberski. We also give two examples of k-fold symmetrical Loewner chains.

Słowa kluczowe

EN

k-fold symmetrical mapping; Loewner chain; spirallike mapping; starlike mapping

PL

odwzorowania; odwzorowania gwiaździste; odwzorowania symetryczne; łańcuch Loewnera

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2007
• Tom: Vol. 40, nr 1
• Strony: 85--94
• Opis fizyczny: Bibliogr. 20 poz.

Twórcy

autor

Hamada H.

autor

Kohr G.

• Faculty of Engineering Kyushu Sangyo University 3-1 Matsukadai 2-Chome, Higashi-ku Fukuoka 813-8503 Japan,

Bibliografia

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