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Some properties of Cauchy-type singular integral operators on unbounded domains. (English) Zbl 1324.45014
Summary: On the basis of introducing a modified Cauchy kernel, we discuss the Hölder continuity of the Cauchy-type singular integral operators on unbounded domains for regular functions by dividing them into the following three cases: two points are on the boundary of region; one point is on the boundary and another point is in the interior (or exterior) of the region; two points are in the interior (or exterior) of the region.
MSC:
45P05 Integral operators
45E05 Integral equations with kernels of Cauchy type
47G10 Integral operators
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