M. Zinsmeister

activity

20072026

most citedIntegral means spectrum of whole-plane SLE

7 citations · 19 across the 17 of their papers we have counts for

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Showing math.CVShow all

11 papers · 1 filter

math.CV2026

Fractional Besov-Sobolev Spaces on Chord-arc Curves

Huaying Wei, Michel Zinsmeister

Let $Γ$ be a bounded rectifiable Jordan curve, with complementary domains $Ω_{i}$ and $Ω_{e}$ . For $1 < p < \infty$ and $0 < s < 1$ , we study the spaces $B_{p, p}^{s} (Ω)$ of harmonic fun…

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★ 2 cited

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…

math.CV2023

Denjoy Domains and BMOA

Shengjin Huo, Michel Zinsmeister

A Denjoy domain is a plane domain whose complement is a closed subset $E$ of the extended real line $R ˉ$ containing $\infty$ : such a domain is called Carleson-homogeneous if…

math.CV2021

A real-variable construction with applications to BMO-Teichmüller theory

Huaying Wei, Michel Zinsmeister

With the use of real-variable techniques, we construct a weight function $ω$ on the interval $[0, 2 π)$ that is doubling and satisfies $lo g ω$ is a BMO function, but which is not a…

math.CV2019★ 3 cited

On Ruelle's property

Huo Shengjin, Michel Zinsmeister

In this paper we investigate the range of validity of Ruelle's property. First, we show that every finitely-generated Fuchsian group has Ruelle's property. We also prove the existe…

math.CV2018

Ahlfors-regular curves and Carleson measures

Huaying Wei, Michel Zinsmeister

We study the relation between the boundary of a simply connected domain being Ahlfors-regular and the invariance of Carleson measures under the push-forward operator induced by a c…

math.CV2018★ 1 cited

Local Analysis of Loewner Equation

Henshui Zhang, Michel Zinsmeister

Let $λ : [0, + \infty) \mapsto R$ be the driving function of a chordal Loewner process. In this paper we find new conditions on $λ$ which imply that the process is generated by…

math.CV2017

BMO-Teichmüller spaces revisited

Huaying Wei, Michel Zinsmeister

In a paper of Cui and Zinsmeister the equivalence among three definitions of BMO-Teichmüller spaces associated with a Fuchsian group was proven using the Douady-Earle extension ope…

math.CV2017

Carleson measures and chord-arc curves

Huaying Wei, Michel Zinsmeister

Following Semmes and Zinsmeister, we continue the study of Carleson measures and their invariance under pull-back and push-forward operators. We also study the analogous statements…