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


  • Yüksel Soykan Department of Mathematics, Art and Science Faculty, Zonguldak Bülent Ecevit University, 67100, Zonguldak



Smirnov classes, Cauchy integral, Cauchy transform, boundedness, Continuity


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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How to Cite

Soykan, Y. (2019). The Boundedness of Cauchy Integral Operator on a Domain Having Closed Analytic Boundary. Communications in Mathematics and Applications, 10(1), 181–189.



Research Article