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

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

Sobolev spaceDirichlet spaceQuasi-circleQuasiconformal mapping

Tailiang LIU、Yuliang SHEN

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Department of Mathematics,Soochow University,Suzhou 215006,Jiangsu,China

Sobolev space Dirichlet space Quasi-circle Quasiconformal mapping

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
年,卷(期):2024.45(6)