Fei Tao

works on

conformal mapping 2 asymptotic smoothness 1 bloch space 1 bmo 1 graph welding 1 half-plane 1 multimodal reasoning 1 quasidisks 1 reinforcement learning 1 test-time scaling 1 trajectory aggregation 1 vision-language models 1

From the 3 of 4 linked papers with an AI index.

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math.CV2026

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

Katsuhiko Matsuzaki, Fei Tao

The paper defines a graph welding homeomorphism associated with a continuous real function and studies how the function’s regularity in Zygmund, BMO, VMO, and Hardy spaces affects…

math.CV2026

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

Katsuhiko Matsuzaki, Fei Tao

The paper extends Pommerenke’s boundary characterizations for conformal maps from the unit disk to the upper half‑plane, proving that the logarithmic derivative of a conformal map…

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