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Maximal operators and singular integrals with non-isotropic dilation on product domains |
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| Authors: | Zhong Kai Li Bo Lin Ma Huo Xiong Wu |
| Institution: | 1. School of Mathematical Sciences, Capital Normal University, Beijing, 100037, P. R. China 2. College of Mathematics and Information Engineering, Jiaxing University, Jiaxing, 314001, P. R. China 3. School of Mathematical Sciences, Xiamen University, Xiamen, 361005, P. R. China |
| Abstract: | In this paper, the authors study the L p -mapping properties of certain maximal operators with non-isotropic dilation on product domains. As an application, the L p -boundedness of the corresponding non-isotropic multiple singular integral operator is also obtained. Here the integral kernel functions Ω belong to the spaces L(logL) α (Σ1 × Σ2) for some α > 0, which is optimal. |
| Keywords: | Non-isotropic singular integral maximal function product domain rough kernel |
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