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Angular limits of the integrals of the Cauchy type

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Abstract

Integrals of the Cauchy type extended over the boundary ∂A of a general compact set A in the complex plane are investigated. Necessary and sufficient conditions on ∂A are established guaranteeing the existence of angular limits of these integrals at a fixed zε∂A for all densities satisfying a Hölder-type condition at z

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Král, J., Medková, D. Angular limits of the integrals of the Cauchy type. Czechoslovak Mathematical Journal 47, 593–617 (1997). https://doi.org/10.1023/A:1022810416360

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  • DOI: https://doi.org/10.1023/A:1022810416360

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