Geodesic
Angular limits of the integrals of the Cauchy type
Czechoslovak Mathematical Journal, Tome 47 (1997) no. 4, pp. 593-617 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Integrals of the Cauchy type extended over the boundary $\partial A$ of a general compact set $A$ in the complex plane are investigated. Necessary and sufficient conditions on $\partial A$ are established guaranteeing the existence of angular limits of these integrals at a fixed $z\in \partial A$ for all densities satisfying a Hölder-type condition at $z$.
Integrals of the Cauchy type extended over the boundary $\partial A$ of a general compact set $A$ in the complex plane are investigated. Necessary and sufficient conditions on $\partial A$ are established guaranteeing the existence of angular limits of these integrals at a fixed $z\in \partial A$ for all densities satisfying a Hölder-type condition at $z$.
Classification : 30E20
Keywords: integrals of Cauchy type; angular limits 
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Král, Josef; Medková, Dagmar. Angular limits of the integrals of the Cauchy type. Czechoslovak Mathematical Journal, Tome 47 (1997) no. 4, pp. 593-617. http://geodesic.mathdoc.fr/item/CMJ_1997_47_4_a2/

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