The Riemann boundary value problem on a closed nonrectifiable curve and the Cauchy transform

DOI10.1134/S1995080211040251zbMath1257.30035MaRDI QIDQ694463

Boris A. Kats

Publication date: 12 December 2012

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Cauchy transformRiemann boundary value problemnon-rectifiable curve

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)

Related Items (2)

Analytic Riemann boundary value problem on \(h\)-summable closed curves ⋮ Extension of Certain Distributions onWeighted Hölder Space and the Riemann Boundary Value Problem for Non-rectifiable Curves

Cites Work

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• On solvability of the jump problem
• A weak type inequality for Cauchy transforms of finite measures
• Bilipschitz maps, analytic capacity, and the Cauchy integral
• Existence and Weak-Type Inequalities for Cauchy Integrals of General Measures on Rectifiable Curves and Sets

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