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Boundedness of Hausdorff operators on some product Hardy type spaces |
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| Authors: | CHEN Jie-cheng FAN Da-shan ZHANG Chun-jie |
| Affiliation: | 1. Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China 2. Department of Mathematics, University of Wisconsin-Milwaukee, Milwaukee, WI 53201, USA 3. School of Science, Hangzhou Dianzi University, Hangzhou 310018, China |
| Abstract: | We study Hausdorff operators on the product Besov space B 10,1 (ℝ n × ℝ m ) and on the local product Hardy space h 1(ℝ n × ℝ m ). We establish some boundedness criteria for Hausdorff operators on these function spaces. |
| Keywords: | Hausdorff operator atomic decomposition product Besov space product Hardy space productlocal Hardy space. |
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