Yaosong Yang

activity

20242026

collaborators

5 papers

math.CV2026

Conformally Invariant Besov Spaces on Chord-Arc Domains

Liu Tailiang, Shen Yuliang, Yang Yaosong

Let $Γ$ be a rectifiable Jordan curve. We introduce the associated Besov $p$ -spaces on $Γ$ and in its complementary domains, and characterize chord-arc curves by the natural trace…

math.CV2026

Decomposition and characterization of VMO via vanishing Carleson measures

Fei Tao, Yaosong Yang

We establish two equivalent characterizations of $VMO$ in terms of vanishing Carleson measures. First, we show that any $VMO$ function admits a decomposition into…

math.GT2025

The growth rate on the volume of $M_{g}^{< L (g)}$

Jinsong Liu, Xu Shan, Lang Wang +1

Let $M_{g}$ be the moduli space of hyperbolic surfaces of genus g endowed with the Weil-Petersson metric. In this paper, we introduce a function $L (g)$ of genus $g$ and cal…

math.CV2025

On Loewner energy and curve composition

Tim Mesikepp, Yaosong Yang

The composition $I^^{3} \circ I^\cdot$ of Jordan curves $I^^{3}$ and $I^\cdot$ in universal TeichmÃ¼ller space is defined through the composition $h_{I^}^{3} \circ h_{I^} \cdot$ of their conformal weldings. We show…

math.CV2024

Conformal weldings in the Loewner equation and Weil--Petersson quasislit-disks

Fei Tao, Huaying Wei, Yaosong Yang

A simple arc $I^ = I^^{3} (0, T]$ , growing into the unit disk $D$ from its boundary, generates a driving term $I^¾$ and a conformal welding $I ¨ $ through the Loewner differential e…