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Singular Integral Operators on Closed Lipschitz Curves

Chapter
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Abstract

In Chap.  1, we state a theory of convolution singular integral operators and Fourier multipliers on infinite Lipschitz curves. A natural question is whether there exists an analogy on closed Lipschitz curves. In this chapter, we establish such a theory for starlike Lipschitz curves.

References

  1. 1.
    McIntosh A. Operators which have an \(H_{\infty }-\)functional calculus. In: Miniconference on operator theory and partial differential equations, proceedings of the center for mathematical analysis, ANU, Canberra, vol. 14;1986.Google Scholar
  2. 2.
    Gaudry G, Qian T, Wang S. Boundedness of singular integral operators with holomorphic kernels on star-shaped Lipschitz curves. Colloq Math. 1996;70:133–50.MathSciNetCrossRefGoogle Scholar
  3. 3.
    Peeter J, Qian T. Möbious covariance of iterated Dirac operators. J Aust Math Soc. 1994;56:1–12.CrossRefGoogle Scholar

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© Springer Nature Singapore Pte Ltd. and Science Press 2019

Authors and Affiliations

  1. 1.Macau Institute of Systems EngineeringMacau University of Science and TechnologyMacaoChina
  2. 2.School of Mathematics and StatisticsQingdao UniversityQingdaoChina

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