Huaying Wei

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20242026

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math.CV2026

Fractional Besov-Sobolev Spaces on Quasicircles

Huaying Wei, Michel Zinsmeister

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

math.CV2025

Cauchy Integral, Fractional Sobolev Spaces and Chord-Arc Curves

Huaying Wei, Michel Zinsmeister

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

math.CV2024

p-Dirichlet spaces over chord-arc domains

Huaying Wei, Michel Zinsmeister

Let $I^$ be a rectifiable Jordan curve in the complex plane, $I^c ◯_{i}$ and $I^c ◯_{e}$ respectively the interior and exterior domains of $I^$ , and $p \geq 2$ . Let $E$ be the vector space of…

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…