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February 17, 2026SHILAP Revista de lepidopterología0 citationsOpen Access

On some Noetherian criteria for singular integral operators with bounded coefficients

VNVasile Neagu

Key Points

  • The aim is to establish Noetherian conditions for singular integral operators with specific properties regarding bounded coefficients.
  • Analyzed singular integral operators with measurable and bounded coefficients.
  • Conducted the study in spaces of integrable functions with specific weights.
  • Assumed a piecewise smooth integration contour.
  • Identified dependencies on the angle sizes at contour corner points.
  • Established Noetherian conditions for the operators in certain function spaces.
  • Demonstrated these conditions are necessary and sufficient for Lyapunov-type contours.
  • Showed that the characteristics of the coefficients influence the Noetherian nature of the operators.

Abstract

In this paper, Noetherian conditions are established for singular integral operators with measurable and bounded coefficients. The study is carried out in spaces of integrable functions with certain weights, and the integration contour is assumed to be piecewise smooth. The established Noetherian conditions depend on the space in which the research is carried out, on the coefficients of the operators, as well as on the sizes of the angles formed by the integration contour at its corner points. In the case of the Lyapunov-type contour, the presented Noetherian conditions are necessary and sufficient in which the operators studied are Noetherian.

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Cite This Study

Vasile Neagu (2026) studied this question.

synapsesocial.com/papers/699405bb4e9c9e835dfd69efhttps://doi.org/10.36120/2587-3644.v20i2.40-61
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