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Keywords:
integrals of Cauchy type; angular limits
integrals of Cauchy type; angular limits
Summary:
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 $z$.
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