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| Maximal Operators of Multilinear Singular Integrals on Weighted Hardy Type Spaces* |
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Citation： |
Yongming WEN.Maximal Operators of Multilinear Singular Integrals on Weighted Hardy Type Spaces*[J].Chinese Annals of Mathematics B,2023,44(3):391~406 |
| Page view： 955
Net amount： 786 |
Authors： |
Yongming WEN; |
Foundation： |
National Natural Science Foundation of China (Nos. 11871101,12171399), NSFC-DFG (No. 11761131002), the Natural Science Foundation of Fujian Province (No. 2021J05188), the Scientific Research Project of The Education Department of Fujian Province (No. JAT200331), the President’s fund of Minnan Normal University (No. KJ2020020), the Institute of Meteorological Big Data-Digital Fujian, Fujian Key Laboratory of Data Science and Statistics and Fujian Key Laboratory of Granular Computing and Applications (Minnan Normal University). |
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| Abstract： |
In this paper, the authors show that the maximal operators of the multilinear Calder′on-Zygmund singular integrals are bounded from a product of weighted Hardy spaces into a weighted Lebesgue spaces, which essentially extend and improve the previous known results obtained by Grafakos and Kalton (2001) and Li, Xue and Yabuta (2011). The corresponding estimates on variable Hardy spaces are also established. |
Keywords： |
Weighted Hardy spaces, Variable Hardy spaces, Maximal operators,Multilinear Calder´on-Zygmund operators, Multiple weights |
Classification： |
42B25, 42B30, 42B35 |
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