12 citations · 29 across the 21 of their papers we have counts for
22 papers
Boundary geometry and linear accessibility of functions with positive real derivative
Shota Hoshinaga, Ikkei Hotta, Li-Mei Wang
We study the boundary geometry of the Noshiro--Warschawski class . Using the geometric structure of close-to-convex domains and their relation to Loewner chains, we in…
Additive processes on the real line and Loewner chains
Takahiro Hasebe, Ikkei Hotta, Takuya Murayama
This paper investigates additive processes with respect to several different independences in non-commutative probability in terms of the convolution hemigroups of the distribution…
Nonlinear resolvents and decreasing Loewner chains
Ikkei Hotta, Sebastian Schleißinger, Toshiyuki Sugawa
In this article we prove that nonlinear resolvents of infinitesimal generators on bounded and convex subdomains of $\C^n$ are decreasing Loewner chains. Furthermore, we consider th…
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…
Continuous evolution families
Shota Hoshinaga, Ikkei Hotta, Hiroshi Yanagihara
Recently in relation to the theory of non-commutative probability, a notion of evolution families is generalized that are only continuous in parameters, nam…
On freely quasi-infinitely divisible distributions
Ikkei Hotta, Wojciech Młotkowski, Noriyoshi Sakuma +1
Inspired by the notion of quasi-infinite divisibility (QID), we introduce and study the class of freely quasi-infinitely divisible (FQID) distributions on , i.e. distri…
Additive processes on the unit circle and Loewner chains
Takahiro Hasebe, Ikkei Hotta
This paper defines the notion of generators for a class of decreasing radial Loewner chains which are only continuous with respect to time. For this purpose, "Loewner's integral eq…
Univalent functions with quasiconformal extensions: Becker's class and estimates of the third coefficient
Pavel Gumenyuk, Ikkei Hotta
We investigate univalent functions in the unit disk extendible to -q.c.(=quasiconformal) automorphisms of . In particular, w…
Limits of radial multiple SLE and a Burgers-Loewner differential equation
Ikkei Hotta, Sebastian Schleißinger
We consider multiple radial SLE as the number of curves tends to infinity. We give conditions that imply the tightness of the associated processes given by the Loewner equation. In…
Problems related to conformal slit-mappings
Ikkei Hotta, Sebastian Schleißinger
In this note we discuss some problems related to conformal slit-mappings. On the one hand, classical Loewner theory leads us to questions concerning the embedding of univalent func…
Hydrodynamic Limit of Multiple SLE
Ikkei Hotta, Makoto Katori
Recently del Monaco and Schleißinger addressed an interesting problem whether one can take the limit of multiple Schramm--Loewner evolution (SLE) as the number of slits goes to…
Tightness results for infinite-slit limits of the chordal Loewner equation
Andrea del Monaco, Ikkei Hotta, Sebastian Schleißinger
In this note we consider a multi-slit Loewner equation with constant coefficients that describes the growth of multiple SLE curves connecting points on to infinity…
Loewner chains with quasiconformal extensions: an approximation approach
Ikkei Hotta
A new approach in Loewner Theory proposed by Bracci, Contreras, Díaz-Madrigal and Gumenyuk provides a unified treatment of the radial and the chordal versions of the Loewner equati…
Chordal Loewner chains with quasiconformal extensions
Pavel Gumenyuk, Ikkei Hotta
In 1972, Becker [J. Reine Angew. Math. 255 (1972), 23-43] discovered a construction of quasiconformal extensions making use of the classical radial Loewner chains. In this paper we…
Locally one-to-one harmonic functions with starlike analytic part
Ikkei Hotta, Andrzej Michalski
Let denote the set of all normalized locally one-to-one and sense-preserving harmonic functions in the unit disc . It is well-known that every complex-valued harmonic func…
Loewner theory for quasiconformal extensions: old and new
Ikkei Hotta
This survey article gives an account of quasiconformal extensions of univalent functions with its motivational background from Teichmüller theory and classical and modern approache…
Quasiconformal extendibility of integral transforms of Noshiro-Warschawski functions
Ikkei Hotta, Li-Mei Wang
Since the nonlinear integral transforms and with a complex number have been introduced, a great numbe…
Ahlfors's quasiconformal extension condition and -likeness
Ikkei Hotta
The notion of -like functions is known to be a necessary and sufficient condition for univalence. By applying the idea, we derive several necessary conditions and sufficient con…
Boundedness, univalence and quasiconformal extension of Robertson functions
Ikkei Hotta, Li-Mei Wang
This article contains several results for λ-Robertson functions, i.e., analytic functions defined on the unit disk satisfying and $Re e^{-iλ} {1+zf"(z)/f…
On strongly starlike and convex functions of order alpha and type beta
Ikkei Hotta, Mamoru Nunokawa
In this note we investigate the inclusion relationship between the class of strongly starlike functions of order alpha and type beta and the class of strongly convex functions of o…
Ruscheweyh's univalence criterion and quasiconformal extensions
Ikkei Hotta
Ruscheweyh extended the work of Becker and Ahlfors on sufficient conditions for a normalized analytic function on the unit disk to be univalent there. In this paper we refine the r…
Loewner chains with complex leading coefficient
Ikkei Hotta
In this paper we confirm that several crucial theorems due to Pommerenke and Becker for the theory of Loewner chains work well without normalization on the complex-valued first coe…