Geodesic
Angular limits of the integrals of the Cauchy type
Czechoslovak Mathematical Journal, Tome 47 (1997) no. 4, pp. 593-617

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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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     author = {Kr\'al, Josef and Medkov\'a, Dagmar},
     title = {Angular limits of the integrals of the {Cauchy} type},
     journal = {Czechoslovak Mathematical Journal},
     pages = {593--617},
     publisher = {mathdoc},
     volume = {47},
     number = {4},
     year = {1997},
     mrnumber = {1479307},
     zbl = {0899.30027},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_1997__47_4_a2/}
}
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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/