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arXiv · 1111.5463

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

He Sha
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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.

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He Sha. 2011-11-23. The Boundedness of Multilinear operators with rough kernel on the weighted Morrey spaces. https://arxiv.org/abs/1111.5463

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