Abstract <p>A matrix singular integral operator with reflection defined on the real axis and acting in Lebesgue spaces with the Muckenhoupt weight is considered. In the case of piecewise-continuous coefficients, the criterion for the Fredholm property is obtained.</p>

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On Fredholm Properties of a Singular Integral Operator with Reflection

  • A. G. Kamalyan,
  • H. A. Kamalyan

摘要

Abstract

A matrix singular integral operator with reflection defined on the real axis and acting in Lebesgue spaces with the Muckenhoupt weight is considered. In the case of piecewise-continuous coefficients, the criterion for the Fredholm property is obtained.