Generalized Abel Integral Operators on Spaces with Rooney Weights
F. Penzel
Technische Hochschule Darmstadt, GermanyIlya Spitkovsky
The College of William and Mary, Williamsburg, USA
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Abstract
We prove a Fredholm criterion for generalized Abel integral equations on the half-line on weighted paces for a class of weight functions introduced by Rooney. We obtain the equivalence of these integral equations to singular integral equations.
Cite this article
F. Penzel, Ilya Spitkovsky, Generalized Abel Integral Operators on Spaces with Rooney Weights. Z. Anal. Anwend. 12 (1993), no. 4, pp. 655–661
DOI 10.4171/ZAA/540