4 citations · 8 across the 7 of their papers we have counts for
7 papers
Topology and convergence on the space of measure-valued functions
Takahiro Hasebe, Ikkei Hotta, Takuya Murayama
In these notes, uniform convergence on compacta is studied on the space of functions taking values in the set of finite Borel measures. Related limit theorems, including Lévy's con…
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…
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…
Univalence and holomorphic extension of the solution to -controlled Loewner-Kufarev equations
Takafumi Amaba, Roland Friedrich, Takuya Murayama
We prove that a solution to the -controlled Loewner-Kufarev equation, which was introduced by the first two authors, exists uniquely, is univalent and starlike on the unit disk…
Reformulation of Laplacian- motion in terms of stochastic Komatu-Loewner evolution in the chordal case
Takuya Murayama
We investigate the relation between the Laplacian- motion and stochastic Komatu-Loewner evolution (SKLE) on multiply connected subdomains of the upper half-plane, both of which…
On the slit motion obeying chordal Komatu-Loewner equation with finite explosion time
Takuya Murayama
This paper studies the behavior of solutions near the explosion time to the chordal Komatu-Loewner equation for slits, motivated by the preceding studies by Bauer and Friedrich (20…
Chordal Komatu-Loewner equation for a family of continuously growing hulls
Takuya Murayama
In this paper, we discuss the chordal Komatu-Loewner equation on standard slit domains in a manner applicable not just to a simple curve but also a family of continuously growing h…