A new version of the generalized Krätzel-Fox integral operators (Q1634675)

Fox's \(H\)-function and its extension that involves certain variants of Krätzel operators are extended to a class of distributions and Boehmian spaces, which are defined and explained explicitly. Section~1 also contains relevant terminology that is employed in the analysis of the problem undertaken in the present paper. Section~2 describes the concept of a Boehmian and Boehmian spaces in order to investigate convolution products and to study Krätzel spaces of Boehmians, thus generated. An estimation of the Krätzel integral operator is given in Section~3, where at the same time properties of certain classes of Boehmians are pointed out.