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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…
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…
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…