This reference details valuable results that lead to improvements in existence theorems for
the Loewner differential equation in higher dimensions, discusses the compactness of the …

Let B be the unit ball in a complex Banach space. Let S k+ 1*(B) be the family of normalized
starlike mappings f on B such that z= 0 is a zero of order k+ 1 of f (z)-z. The authors obtain …

Let B be the unit ball of C n with respect to an arbitrary norm. We study certain properties of
Loewner chains and their transition mappings on the unit ball B. We show that any Loewner …

Let B be the unit ball in Cn with respect to an arbitrary norm and let f (z, t) be a g-Loewner
chain such that e− tf (z, t)− z has a zero of order k+ 1 at z= 0. In this paper, we obtain growth …

We consider support points of the class $ S^ 0 (B^ n) $ introduced by G. Kohr and prove that,
given a normalized Loewner chain $ f (z, t) $ such that $ f (\cdot, 0) $ is a support point of …

In this paper we continue the study of the Roper-Suffridge extension operator. Let f be a
locally univalent function on the unit disc and let Q: C n− 1→ C be a homogeneous …

In this paper we consider non-normalized univalent subordination chains and the
connection with the Loewner differential equation on the unit ball in Cn. To this end, we …

In this paper, we introduce two classes of generalized Roper–Suffridge extension operators
and prove that they can be embedded in Loewner chains. In particular, our proof shows that …

Loewner chains and quasiconformal extension of holomorphic mappings × Close The
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Parabolic starlike mappings in several complex variables Page 1 manuscripta math. 123,
301–324 (2007) © Springer-Verlag 2007 Hidetaka Hamada · Tatsuhiro Honda · Gabriela Kohr …