EUDML | An operator connected with the third boundary value problem in potential theory

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Displaying similar documents to “An operator connected with the third boundary value problem in potential theory”

The third boundary value problem in potential theory

Ivan Netuka (1972)

Czechoslovak Mathematical Journal

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Double layer potentials and the Dirichlet problem

Ivan Netuka (1974)

Czechoslovak Mathematical Journal

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Non-tangential limits of the double layer potentials

Miroslav Dont (1972)

Časopis pro pěstování matematiky

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Angular limits of the integrals of the Cauchy type

Josef Král, Dagmar Medková (1997)

Czechoslovak Mathematical Journal

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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 $z$ .