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Riemann problem for multiply connected domain in Besov spaces.
- Source :
-
Boundary Value Problems . 6/5/2024, Vol. 2024 Issue 1, p1-9. 9p. - Publication Year :
- 2024
-
Abstract
- In this paper, we obtain conditions of the solvability of the Riemann boundary value problem for sectionally analytic functions in multiply connected domains in Besov spaces embedded into the class of continuous functions. We indicate a new class of Cauchy-type integrals, which are continuous on a closed domain with continuous (not Hölder) density in terms of Besov spaces, and for which the Sokhotski–Plemelj formulas are valid. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 16872762
- Volume :
- 2024
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Boundary Value Problems
- Publication Type :
- Academic Journal
- Accession number :
- 177714695
- Full Text :
- https://doi.org/10.1186/s13661-024-01883-x