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

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

2011-11-23

arxiv.org/abs/1111.5463v4

Mathematics

Functional Analysis

error in a Theorem

Scientific paper

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.

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