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

Authors

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

DOI:

https://doi.org/10.26713/cma.v10i1.1104

Keywords:

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

Abstract

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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References

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Published

31-03-2019
CITATION

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. https://doi.org/10.26713/cma.v10i1.1104

Issue

Vol. 10 No. 1 (2019)

Section

Research Article

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