JournalszaaVol. 12, No. 1pp. 93–96

On a Theorem of Rooney Concerning the Spectrum of the Singular Integral Operator

  • Albrecht Böttcher

    Technische Universität Chemnitz, Germany
  • Ilya Spitkovsky

    The College of William and Mary, Williamsburg, USA
On a Theorem of Rooney Concerning the Spectrum of the Singular Integral Operator cover
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Abstract

The authors have recently described the spectrum and the essential spectrum of the singular in-tegral operator on spaces with general Muckenhoupt weights. In this note we show how these results imply a sharpened version of a theorem by Rooney on the spectrum of the singular integral operator on spaces with a "weakly" perturbed power weight.

Cite this article

Albrecht Böttcher, Ilya Spitkovsky, On a Theorem of Rooney Concerning the Spectrum of the Singular Integral Operator. Z. Anal. Anwend. 12 (1993), no. 1, pp. 93–96

DOI 10.4171/ZAA/579