16 citations · 24 across the 5 of their papers we have counts for
5 papers
Bieberbach conjecture, Bohr radius, Bloch constant and Alexander's theorem in infinite dimensions
Hidetaka Hamada, Gabriela Kohr, Mirela Kohr
In this paper, we investigate holomorphic mappings on the unit ball of a complex Banach space of the form , where is a holomorphic function on $\ma…
Loewner PDE in infinite dimensions
Ian Graham, Hidetaka Hamada, Gabriela Kohr +1
In this paper, we prove the existence and uniqueness of the solution of the Loewner PDE with normalization , where is such that $k_+(A)<2m(A)…
Support points for families of univalent mappings on bounded symmetric domains
Hidetaka Hamada, Gabriela Kohr
In this paper we study some extremal problems for the family of normalized univalent mappings with -parametric representation on the unit ball $\mathbb{B}_…
Variation of Loewner chains, extreme and support points in the class in higher dimensions
Filippo Bracci, Ian Graham, Hidetaka Hamada +1
We introduce a family of natural normalized Loewner chains in the unit ball, which we call "geräumig"---spacious---which allow to construct, by means of suitable variations, other…
An abstract approach to Loewner chains
Leandro Arosio, Filippo Bracci, Hidetaka Hamada +1
We present a new geometric construction of Loewner chains in one and several complex variables which holds on a complete hyperbolic complex manifold M and prove that there is essen…