Integral Equations Associated with Hankel Convolutions

Abstract

Then the integral defining f # g(x) converges for almost all x, 0 < x < °o, and |/#f|i£|/|i|«|i.Proof.We haveThe change in order of integration follows by Fubini's theorem.It is thus clear that Lemma 2.7.// / and g are functions of Ll(0, °°), then