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Displaying similar documents to “Liouville's theorem for first-order partial differential operators”

On boundary behavior of Cauchy integrals

Hiroshige Shiga (2013)

Annales UMCS, Mathematica

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In this paper, we shall estimate the growth order of the n-th derivative Cauchy integrals at a point in terms of the distance between the point and the boundary of the domain. By using the estimate, we shall generalize Plemelj-Sokthoski theorem. We also consider the boundary behavior of generalized Cauchy integrals on compact bordered Riemann surfaces.