Rough fractional multilinear integral operators on generalized weighted morrey spaces

Abstract

In this paper, we study the boundedness of fractional multilinear integral operators with rough kernels (Formula presented) on the generalized weighted Morrey spaces (Formula presented). We find the sufficient conditions on the pair (Formula presented) with (Formula presented) which ensures the boundedness of the operators (Formula presented) from (Formula presented) for 1 < p < ?. In all cases the conditions for the boundedness of the operator (Formula presented) is given in terms of Zygmund-type integral inequalities on (Formula presented) and w, which do not assume any assumption on monotonicity of (Formula presented) in r. © 2010 AZJM All rights reserved.