The Riemann boundary value problem in the class of Cauchy type integrals with densities of grand variable exponent Lebesgue spaces

DOI10.1515/GMJ-2016-0041zbMath1372.47038OpenAlexW2532773755MaRDI QIDQ333420

Vakhtang Kokilashvili, Vakhtang Paatashvili, Alexander Meskhi

Publication date: 31 October 2016

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2016-0041

zbMATH Keywords

Riemann boundary value problemCauchy singular integral operatorCarleson curveCauchy type integralgrand variable exponent Lebesgue space

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Boundary value problems in the complex plane (30E25) Integral operators (45P05) Linear operators on function spaces (general) (47B38)

Related Items (1)

On compound Riemann Hilbert boundary value problem in the framework of variable exponent spaces

Cites Work

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• Maximal and Calderón-Zygmund operators in grand variable exponent Lebesgue spaces
• Integral operators in non-standard function spaces. Volume 2: Variable exponent Hölder, Morrey-Campanato and Grand spaces
• On the integrability of the Jacobian under minimal hypotheses
• The method of Cauchy-type integrals in discontinuous boundary value problems of the theory of holomorphic functions of a complex variable
• Inverting the \(p\)-harmonic operator

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