Restricted testing conditions for the multilinear maximal operator

Analysis Mathematica - Tập 48 - Trang 19-28 - 2022
R. J. Chen1, W. Chen2, F. L. Kong3
1Guangling College, Yangzhou University, Yangzhou, China
2School of Mathematical Sciences, Yangzhou University, Yangzhou, China
3School of Mathematics and Physics, Xinjiang Institute of Engineering, Urumqi, China

Tóm tắt

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.

Tài liệu tham khảo

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