## Abstract Using a norm inequality for singular integral operators in pairs of weighted Lebesgue spaces we prove new existence and uniqueness results for solutions of nonlinear Riemann‐Hilbert problems with noncompact restriction curves.
Riemann–Hilbert problem associated with Angelesco systems
✍ Scribed by A. Branquinho; U. Fidalgo; A. Foulquié Moreno
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 548 KB
- Volume
- 233
- Category
- Article
- ISSN
- 0377-0427
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✦ Synopsis
Angelesco systems of measures with Jacobi-type weights are considered. For such systems, strong asymptotics for the related multiple orthogonal polynomials are found as well as the Szegő-type functions. In the procedure, an approach from the Riemann-Hilbert problem plays a fundamental role.
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