Fei Tao

collaborators

3 papers

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…

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

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