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| A Brief Approach to a Riemann-Hilbert Problem on Quasi-circles |
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Citation： |
Tailiang LIU,Yuliang SHEN.A Brief Approach to a Riemann-Hilbert Problem on Quasi-circles[J].Chinese Annals of Mathematics B,2024,45(6):971~978 |
| Page view： 436
Net amount： 153 |
Authors： |
Tailiang LIU; Yuliang SHEN |
Foundation： |
the National Natural Science Foundation of China (No. 12171346). |
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| Abstract： |
The authors introduce the Sobolev space H 1/2 (Γ) on a quasi-circle Γ and give
a fast approach to the jump formula which gives a decomposition of an element in H 1/2 (Γ)
as the boundary values of two Dirichlet functions in the complementary domains of Γ. |
Keywords： |
Sobolev space, Dirichlet space, Quasi-circle, Quasiconformal mapping |
Classification： |
30C62 |
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