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Restricted testing conditions for the multilinear maximal operator |
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| Authors: | Chen R J Chen W Kong F L |
| Institution: | 1.Guangling College, Yangzhou University, Yangzhou, 225002, China ;2.School of Mathematical Sciences, Yangzhou University, Yangzhou, 225002, China ;3.School of Mathematics and Physics, Xinjiang Institute of Engineering, Urumqi, 830023, China ; |
| Abstract: | Restricted testing conditions were considered recently. For the maximal operator, Hytönen, Li and Sawyer 8] first obtained parental testing condition. Later, they 9] showed that it suffices to restrict testing to doubling cubes. Chen and Lacey 3] gave a similar restricted testing condition. In our paper, we discuss a version of the latter in the multilinear setting. |
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