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. 93–96DOI 10.4171/ZAA/579