16 citations · 28 across the 18 of their papers we have counts for
16 papers · 1 filter
The sharp Lipschitz continuity problem with respect to the pseudo hyperbolic metric
Shaolin Chen, Hidetaka Hamada, Manzi Huang +1
The main purpose of this paper is to address an open problem posed by Huang, Rasila, and Zhu in [Anal. Math. 48(2022), 1069-1080]. We first establish a sharp Lipschitz continuity r…
Some sharp Schwarz type estimates and their applications in Banach spaces
Shaolin Chen, Hidetaka Hamada, Megha Kundathil +1
The primary objective of this paper is to develop methodologies for investigating Schwarz type lemmas and to present their applications in Banach spaces. First, we improve upon the…
Remarks on "Schwarz-type lemma, Landau-type theorem, and Lipschitz-type space of solutions to inhomogeneous biharmonic equations"
Shaolin Chen, Hidetaka Hamada
Let , , , where and denote the unit disk and the unit circle, respectively. Suppose that $f\in C^{4}…
Refined Bohr inequalities and a refined Bohr-Rogosinski inequality on complex Banach spaces
Molla Basir Ahamed, Sabir Ahammed, Hidetaka Hamada
In this paper, we first establish refined versions of the Bohr inequalities for the class of holomorphic functions from the unit ball of a complex Banach space into $\mat…
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)…
Equivalent norms and Hardy-Littlewood type Theorems, and their applications
Shaolin Chen, Hidetaka Hamada
The main purpose of this paper is to develop some methods to investigate equivalent norms and Hardy-Littlewood type Theorems on Lipschitz type spaces of analytic functions and comp…
Characterizations of composition operators on Bloch and Hardy type spaces
Shaolin Chen, Hidetaka Hamada
The main purpose of this paper is to investigate characterizations of composition operators on Bloch and Hardy type spaces. Initially, we use general doubling weights to study the…
Composition operators on Bloch and Hardy type spaces
Shaolin Chen, Hidetaka Hamada, Jian-Feng Zhu
The main purpose of this paper is to discuss Hardy type spaces, Bloch type spaces and the composition operators of complex-valued harmonic functions. We first establish a sharp est…
Schwarz type lemmas and their applications in Banach spaces
Shaolin Chen, Hidetaka Hamada, Saminathan Ponnusamy +1
The main purpose of this paper is to develop some methods to investigate the Schwarz type lemmas of holomorphic mappings and pluriharmonic mappings in Banach spaces. Initially, we…
Some sharp Schwarz-Pick type estimates and their applications of harmonic and pluriharmonic functions
Shaolin Chen, Hidetaka Hamada
The purpose of this paper is to study the Schwarz-Pick type inequalities for harmonic or pluriharmonic functions. By analogy with the generalized Khavinson conjecture, we first giv…
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}_…
Bloch-type spaces and extended Cesàro operators in the unit ball of a complex Banach space
Hidetaka Hamada
Let be the unit ball of a complex Banach space . In this paper, we will generalize the Bloch-type spaces and the little Bloch-type spaces to the open unit ball $\ma…
Approximation properties of univalent mappings on the unit ball in
Hidetaka Hamada, Mihai Iancu, Gabriela Kohr +1
Let . In this paper, we obtain approximation properties of various families of normalized univalent mappings on the Euclidean unit ball in $\mathbb{C}^n…
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…