On boundary behavior of Cauchy integrals

DOI10.2478/V10062-012-0023-ZzbMath1284.30029OpenAlexW2087103314MaRDI QIDQ2442922

Hiroshige Shiga

Publication date: 2 April 2014

Published in: Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica (Search for Journal in Brave)

Full work available at URL: http://87.246.207.98/Content/21933

zbMATH Keywords

Cauchy integralRiemann surfacePlemelj-Sokhotski theorem

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Boundary value problems in the complex plane (30E25) Riemann surfaces (30F99)

Cites Work

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• Hardy classes on Riemann surfaces
• The Plemelj theory for the class \({\Lambda^*}\) of functions
• Polynomial expansions of functions defined by Cauchy's integral
• THE PLEMELJ-PRIVALOV THEOREM FOR GENERALIZED HÖLDER CLASSES
• Modulus of continuity of the Dirichlet solutions
• Riemann mappings of invariant components of Kleinian groups
• ANALOGUES OF THE CAUCHY KERNEL ON A RIEMANN SURFACE AND SOME OF THEIR APPLICATIONS

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