scientific article; zbMATH DE number 1282266

zbMath0947.30030MaRDI QIDQ4241203

Vakhtang Paatashvili, Vakhtang Kokilashvili, Givi Khuskivadze

Publication date: 8 November 2000

Full work available at URL: https://eudml.org/doc/223392

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zbMATH Keywords

conformal mappingRiemann-Hilbert problemCauchy type integralspiecewise smooth boundaryanalytic and harmonic functions

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) General theory of conformal mappings (30C35) Boundary value problems in the complex plane (30E25) Research exposition (monographs, survey articles) pertaining to functions of a complex variable (30-02) Conjugate functions, conjugate series, singular integrals (42A50) Integral equations with kernels of Cauchy type (45E05)

Related Items (14)

Quasiconformal mappings and periodic spectral problems in dimension two ⋮ Boundary value problems and singular integral equations on Banach function spaces ⋮ Riemann–Hilbert problem in the class of Cauchy type integrals with densities of grand Lebesgue Spaces ⋮ Conformal reduction of boundary problems for harmonic functions in a plane domain with strong singularities on the boundary ⋮ Boundary value problems for analytic functions with boundary data from grand Lebesgue spaces ⋮ Boundedness criteria for singular integrals in weighted Grand Lebesgue spaces ⋮ The Dirichlet and Riemann-Hilbert problems in Smirnov classes with variable exponent in doubly connected domains ⋮ Matrix Riemann-Hilbert problems with jumps across Carleson contours ⋮ The Riemann and Dirichlet Problems with Data from the Grand Lebesgue Spaces ⋮ The Dirichlet problem for harmonic functions from variable exponent Smirnov classes in domains with piecewise smooth boundary ⋮ Nonlinear harmonic analysis of integral operators in weighted grand Lebesgue spaces and applications ⋮ Operators of harmonic analysis in weighted spaces with non-standard growth ⋮ Unnamed Item ⋮ On the variable exponent Riemann boundary value problem for Liapunov open curve

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