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- Title
Riemann problem for multiply connected domain in Besov spaces.
- Authors
Bliev, Nazarbay; Yerkinbayev, Nurlan
- 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.
- Subjects
BESOV spaces; RIEMANN-Hilbert problems; BOUNDARY value problems; CONTINUOUS functions
- Publication
Boundary Value Problems, 2024, Vol 2024, Issue 1, p1
- ISSN
1687-2762
- Publication type
Article
- DOI
10.1186/s13661-024-01883-x