Takuya Murayama

activity

20182023

most citedChordal Komatu-Loewner equation for a family of continuously growing hulls

4 citations · 8 across the 7 of their papers we have counts for

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math.CV2021

On the continuity of half-plane capacity with respect to Carathéodory convergence

Takuya Murayama

We study the continuity of half-plane capacity as a function of boundary hulls with respect to the Carathéodory convergence. In particular, our interest lies in the case that hulls…

math.CV2020

Loewner chains and evolution families on parallel slit half-planes

Takuya Murayama

In this paper, we define and study Loewner chains and evolution families on finitely multiply-connected domains in the complex plane. These chains and families consist of conformal…

math.CV2019★ 2 cited

Univalence and holomorphic extension of the solution to $ω$ -controlled Loewner-Kufarev equations

Takafumi Amaba, Roland Friedrich, Takuya Murayama

We prove that a solution to the $ω$ -controlled Loewner-Kufarev equation, which was introduced by the first two authors, exists uniquely, is univalent and starlike on the unit disk…

On the continuity of half-plane capacity with respect to Carathéodory convergence

Loewner chains and evolution families on parallel slit half-planes

Univalence and holomorphic extension of the solution to ω-controlled Loewner-Kufarev equations

Univalence and holomorphic extension of the solution to $ω$ -controlled Loewner-Kufarev equations