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