The Riemann Boundary Value Problem on Non-rectifiable Arcs and the Cauchy Transform

DOI10.1007/978-3-0348-0297-0_24zbMath1257.30037OpenAlexW146781921MaRDI QIDQ3143992

Boris A. Kats

Publication date: 6 December 2012

Published in: Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0297-0_24

zbMATH Keywords

Cauchy transformRiemann boundary value problemmetric dimensionnon-rectifiable arc

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 (1)

Analytic Riemann boundary value problem on \(h\)-summable closed curves

Cites Work

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• A weak type inequality for Cauchy transforms of finite measures
• The refined metric dimension with applications
• 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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