### Abstract

The norm of the above-mentioned operator S is computed on the unions of parallel lines or concentric circles. The upper bound is found for its norm on the ellipse. In case of weighted spaces on the unit circle, the exact norm is found for some rational weights, and necessary and sufficient conditions on the weight are established, under which the essential norm of S equals 1.

Original language | English (US) |
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Pages (from-to) | 68-80 |

Number of pages | 13 |

Journal | Integral Equations and Operator Theory |

Volume | 24 |

Issue number | 1 |

DOIs | |

State | Published - Jan 1 1996 |

### ASJC Scopus subject areas

- Analysis
- Algebra and Number Theory

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## Cite this

Feldman, I., Krupnik, N., & Spitkovsky, I. (1996). Norms of the singular integral operator with Cauchy kernel along certain contours.

*Integral Equations and Operator Theory*,*24*(1), 68-80. https://doi.org/10.1007/BF01195485