The Cauchy integral, analytic capacity and subsets of quasicircles

DOI10.2140/pjm.1994.166.247zbMath0832.30015OpenAlexW2045189769MaRDI QIDQ1891187

Xiang Fang

Publication date: 5 March 1996

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

Full work available at URL: https://doi.org/10.2140/pjm.1994.166.247

zbMATH Keywords

rectifiable curvequasicirclesanalytic capacityCauchy integral operatorchord-arc curveone-dimensional Hausdorff measure

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Capacity and harmonic measure in the complex plane (30C85) Extremal problems for conformal and quasiconformal mappings, other methods (30C75) Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions (31A20)

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