数学年刊B辑(英文版)2024,Vol.45Issue(6) :971-978.DOI:10.1007/s11401-024-0048-y

A Brief Approach to a Riemann-Hilbert Problem on Quasi-circles

Tailiang LIU Yuliang SHEN
数学年刊B辑(英文版)2024,Vol.45Issue(6) :971-978.DOI:10.1007/s11401-024-0048-y

A Brief Approach to a Riemann-Hilbert Problem on Quasi-circles

Tailiang LIU 1Yuliang SHEN1
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作者信息

  • 1. Department of Mathematics,Soochow University,Suzhou 215006,Jiangsu,China
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Abstract

The authors introduce the Sobolev space H1/2(Γ)on a quasi-circle Γ and give a fast approach to the jump formula which gives a decomposition of an element in H1/2(Γ)as the boundary values of two Dirichlet functions in the complementary domains of Γ.

Key words

Sobolev space/Dirichlet space/Quasi-circle/Quasiconformal mapping

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出版年

2024
数学年刊B辑(英文版)
国家教育部委托复旦大学主办

数学年刊B辑(英文版)

CSTPCD
影响因子:0.129
ISSN:0252-9599
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