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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 of the Loewner PDE with normalization , where is such that $k_+(A)<2m(A)…
math.FA2023
A Hardy-Littlewood type Theorem and a Heinz type inequality
Shaolin Chen, Hidetaka Hamada, Dou Xie
The main aim of this paper is to investigate the Hardy-Littlewood type Theorem and the Heinz type inequality on functions induced by a differential operator. We first prove a more…
math.CV2023
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…