Analytic capacity, rectifiability, Menger curvature and the Cauchy integral

DOI10.1007/b84244zbMath1043.28002OpenAlexW608236512MaRDI QIDQ1850428

Hervé Pajot

Publication date: 8 December 2002

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/b84244

zbMATH Keywords

Menger curvatureremovable setsanalytic capacityCauchy singular integral operatorsAhlfors-regular setsVitushkin conjecture\(L^2\)-boundedness of Cauchy integral

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Length, area, volume, other geometric measure theory (28A75) Capacity and harmonic measure in the complex plane (30C85)

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