A Brief Approach to a Riemann-Hilbert Problem on Quasi-circles
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.
Gespeichert in:
| Veröffentlicht in: | Chinese annals of mathematics. Serie B 2024-11, Vol.45 (6), p.971-978 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Zusammenfassung: | 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. |
|---|---|
| ISSN: | 0252-9599 1860-6261 |
| DOI: | 10.1007/s11401-024-0048-y |