Katsuhiko Matsuzaki

collaborators

9 papers

math.CV2026

Weak Asymptotic Symmetry of Quasisymmetric Embeddings on Quasilines

Katsuhiko Matsuzaki, Fei Tao

We investigate the relationship between weak asymptotic symmetry ( $WAS$ ) and asymptotic symmetry ( $AS$ ) for quasisymmetric maps associated with planar quasilines.…

math.CO2026

A Conway-Coxeter theorem for decorated frieze patterns

Takeru Kuwana, Katsuhiko Matsuzaki

Let $m \geq 0$ and put $n = m + 3$ . We introduce a normalized positive Laurent class of decorated frieze patterns and prove a decorated analogue of the Conway-Coxeter classification theo…

math.CV2026

Graph Weldings Associated with Functions in Zygmund, $BMO$ , $VMO$ , and $H^{1/2}$

Katsuhiko Matsuzaki, Fei Tao

Let $f : R \to R$ be a continuous function. We define the graph welding associated with $f$ as the homeomorphism \[ φ= G^{-1}\circ F\colon \mathbb{R}\to\mathbb{…

math.CV2026

Boundary Characterizations of Little Bloch and $VMOA$ Functions on the Half-Plane

Katsuhiko Matsuzaki, Fei Tao

We extend Pommerenke's characterizations of boundary curves of conformal mappings in terms of the little Bloch and $VMOA$ conditions from the unit disk $D$ to the…

math.CV2025

Characterization of Asymptotically Smooth Curves

Katsuhiko Matsuzaki, Fei Tao

We construct an explicit example of an asymptotically conformal chord-arc curve that fails to be asymptotically smooth. This implies that a function belonging to both the little Bl…

math.CV2025

Integrable Teichmüller spaces for analysis on Weil-Petersson curves

Katsuhiko Matsuzaki

The integrableTeichmüller space $T_{p}$ for $p \geq 1$ is defined by the $p$ -integrability of Beltrami coefficients. We characterize a quasisymmetric homeomorphism $h$ in $T_{p}$ by th…

Weak Asymptotic Symmetry of Quasisymmetric Embeddings on Quasilines

A Conway-Coxeter theorem for decorated frieze patterns

Graph Weldings Associated with Functions in Zygmund, BMO, VMO, and H1/2

Boundary Characterizations of Little Bloch and VMOA Functions on the Half-Plane

Characterization of Asymptotically Smooth Curves

Integrable Teichmüller spaces for analysis on Weil-Petersson curves

Graph Weldings Associated with Functions in Zygmund, $BMO$ , $VMO$ , and $H^{1/2}$

Boundary Characterizations of Little Bloch and $VMOA$ Functions on the Half-Plane