Huaying Wei

activity

20242026

collaborators

4 papers

math.CV2026

Fractional Besov-Sobolev Spaces on Quasicircles

Huaying Wei, Michel Zinsmeister

Let $Γ$ be a bounded Jordan curve and $Ω_{i}, Ω_{e}$ its two complementary components. For $p \in (1, \infty), s \in (0, 1)$ we define the two spaces $B_{p, p}^{s} (Ω_{i, e})$ as the…

math.CV2025

Cauchy Integral, Fractional Sobolev Spaces and Chord-Arc Curves

Huaying Wei, Michel Zinsmeister

Let $Γ$ be a bounded Jordan curve and $Ω_{i}, Ω_{e}$ its two complementary components. For $s \in (0, 1)$ we define $H^{s} (Γ)$ as the set of functions $f : Γ \to C$ having har…

math.CV2024

p-Dirichlet spaces over chord-arc domains

Huaying Wei, Michel Zinsmeister

Let $Γ$ be a rectifiable Jordan curve in the complex plane, let $Ω_{i}$ and $Ω_{e}$ be its interior and exterior domains, respectively, and let $1 < p < \infty$ . Let $E$ be the vector…

math.CV2024

Dirichlet spaces over chord-arc domains

Huaying Wei, Michel Zinsmeister

If $U$ is a $C^{\infty}$ function with compact support in the plane, we let $u$ be its restriction to the unit circle $S$ , and denote by $U_{i}, U_{e}$ the harmonic extension…