Boundedness for multilinear fractional integral operators on Herz type spaces

Abstract

In this paper the boundedness for the multilinear fractional integral operator Iα(m) on the product of Herz spaces and Herz-Morrey spaces are founded, which improves the Hardy-Littlewood-Sobolev inequality for classical fractional integral Iα. The method given in the note is useful for more general multilinear integral operators.