The Fekete-Szegö problem for starlike mappings and nonlinear resolvents of the Carathéodory family on the unit balls of complex Banach spaces

H Hamada, G Kohr, M Kohr - Analysis and Mathematical Physics, 2021 - Springer
In this paper, we first give a coefficient inequality for holomorphic functions on the unit disc U
in C which are subordinate to a holomorphic function p on U with p′(0)≠ 0. Next, as …

[图书][B] Numerical range of holomorphic mappings and applications

M Elin, S Reich, D Shoiykhet - 2019 - Springer
The numerical range of (generally speaking, unbounded) linear operators plays a crucial
role in linear semigroup theory because of the celebrated Lumer–Phillips Theorem. For …

Fekete-Szegö problem for univalent mappings in one and higher dimensions

H Hamada, G Kohr, M Kohr - Journal of Mathematical Analysis and …, 2022 - Elsevier
In this paper, we will give the Fekete-Szegö inequality for the mappings f in various
subclasses of normalized univalent mappings which are the first elements of g-Loewner …

Variation of Loewner Chains, Extreme and Support Points in the Class in Higher Dimensions

F Bracci, I Graham, H Hamada, G Kohr - Constructive Approximation, 2016 - Springer
We introduce a family of natural normalized Loewner chains in the unit ball, which we call
“geräumig”—spacious—which allow us to construct, by means of suitable variations, other …

On the coefficient inequalities for a class of holomorphic mappings associated with spirallike mappings in several complex variables

Y Lai, Q Xu - Results in Mathematics, 2021 - Springer
In this paper, we establish the Fekete and Szegö inequality for a class of holomorphic
functions related to the class of normalized spirallike functions in the unit disk, and then we …

Support Points and Extreme Points for Mappings with -Parametric Representation in

I Graham, H Hamada, G Kohr, M Kohr - The Journal of Geometric Analysis, 2016 - Springer
Abstract Let A ∈ L (C^ n) A∈ L (C n) be a linear operator such that k_+(A)< 2m (A) k+(A)< 2
m (A), where k_+(A) k+(A) is the upper exponential index of AA and m (A)=\min {R ⟨ A (z), z …

The Fekete and Szegö inequality for a class of holomorphic mappings on the unit polydisk in <?xpag &Cbb;n?> and its application

Q Xu, T Liu, J Lu - Complex Variables and Elliptic Equations, 2023 - Taylor & Francis
Let C be the familiar class of normalized close-to-convex functions in the unit disk. In Koepf
[On the Fekete-Szegö problem for close-to-convex functions. Proc Amer Math Soc. 1987; …

Support points for families of univalent mappings on bounded symmetric domains

H Hamada, G Kohr - Science China Mathematics, 2020 - Springer
In this paper, we study some extremal problems for the family S_g^ 0 (B _X) S g 0 (BX) of
normalized univalent mappings with g-parametric representation on the unit ball B _X BX of …

[HTML][HTML] Bounded support points for mappings with g-parametric representation in C2

I Graham, H Hamada, G Kohr, M Kohr - Journal of Mathematical Analysis …, 2017 - Elsevier
In this paper we consider support points for the family S g 0 (B 2) of mappings with g-
parametric representation on the Euclidean unit ball B 2 in C 2, where g is a univalent …

The Fekete-Szegö inequality and successive coefficients difference for a subclass of close-to-starlike mappings in complex Banach spaces

Q Xu, W Fang, W Feng, T Liu - Acta Mathematica Scientia, 2023 - Springer
Let C be the familiar class of normalized close-to-convex functions in the unit disk. In [17],
Koepf demonstrated that, as to a function f (ξ)= ξ+∑ m= 2∞ am ξ m in the class C, max f∈ …