The Riemann-Hilbert problem in weighted classes of Cauchy type integrals with density from \(L^{P(\cdot)}(\Gamma)\)

DOI10.1007/s11785-008-0067-9zbMath1193.47036OpenAlexW2068758914MaRDI QIDQ1042637

Vakhtang Paatashvili, Vakhtang Kokilashvili

Publication date: 14 December 2009

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-008-0067-9

zbMATH Keywords

Riemann-Hilbert problemCauchy type integralslog-Hölder conditionweighted Lebesgue spaces with variable exponentpiecewise-Lyapunov boundary

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Boundary value problems in the complex plane (30E25) Integral operators (45P05) Linear operators on function spaces (general) (47B38)

Related Items (8)

Boundary value problems and singular integral equations on Banach function spaces ⋮ Smirnov classes of analytic functions with variable exponent in multiply connected domains ⋮ The Dirichlet and Riemann-Hilbert problems in Smirnov classes with variable exponent in doubly connected domains ⋮ The Riemann and Dirichlet Problems with Data from the Grand Lebesgue Spaces ⋮ On compound Riemann Hilbert boundary value problem in the framework of variable exponent spaces ⋮ The Dirichlet problem for harmonic functions from variable exponent Smirnov classes in domains with piecewise smooth boundary ⋮ Weighted Hardy and Smirnov classes and the Dirichlet problem for a ring within the framework of variable exponent analysis ⋮ On the variable exponent Riemann boundary value problem for Liapunov open curve

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