G. Kohr

activity

20202024

most citedSupport points for families of univalent mappings on bounded symmetric domains

16 citations · 16 across the 3 of their papers we have counts for

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math.CV2024

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 $F$ on the unit ball $B$ of a complex Banach space of the form $F (x) = f (x) x$ , where $f$ is a holomorphic function on $\ma…

math.CV2023

Loewner PDE in infinite dimensions

Ian Graham, Hidetaka Hamada, Gabriela Kohr +1

In this paper, we prove the existence and uniqueness of the solution $f (z, t)$ of the Loewner PDE with normalization $D f (0, t) = e^{t A}$ , where $A \in L (X, X)$ is such that $k_+(A)<2m(A)…

math.CV2020★ 16 cited

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 $S_{g}^{0} (B_{X})$ of normalized univalent mappings with $g$ -parametric representation on the unit ball $\mathbb{B}_…