The Boundedness of Multilinear operators with rough kernel on the weighted Morrey spaces

Abstract

In this paper, we show the strong and weak type boundedness of $T_{\Omega ,\alpha }^A$ and $M_{\Omega ,\alpha }^A$, the multilinear fractional integral operators and the corresponding fractional maximal operators, on the two weights weighted Morrey space. Furthermore, we also obtain the mulitilinear singular integral operators $T_{\Omega }^A$ and the corresponding maximal operators $M_{\Omega }^A$ are strong bounded operators on the same spaces.

References in corpus (1)

• The boundedness of some operators with rough kernel on the weighted Morrey spaces