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arxiv: 1809.00155 · v1 · pith:4MQEQVT5new · submitted 2018-09-01 · 🧮 math.FA

The Boundedness of Cauchy Integral Operator on a Domain Having Closed Analytic Boundary

classification 🧮 math.FA
keywords cauchyanalyticboundarycloseddomainintegraloperatorsboundedness
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In this paper, we prove that the Cauchy integral operators (or Cauchy transforms) define continuous linear operators on the Smirnov classes for some certain domain with closed analytic boundary.

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