Abylayeva, AAkbota M; Oinarov, Ryskul; Persson, Lars Erik (Journal article; Tidsskriftartikkel; Peer reviewed, 2016-12-13)
We establish characterizations of both boundedness and of compactness of a general
class of fractional integral operators involving the Riemann-Liouville, Hadamard, and
Erdelyi-Kober operators. In particular, these results imply new results in the theory of
Hardy type inequalities. As applications both new and well-known results are pointed
out.