Abstract
In this paper, the authors show that the maximal operators of the multilinear Calderón-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.
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This work was supported by the 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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Wen, Y., Wu, H. & Xue, Q. Maximal Operators of Multilinear Singular Integrals on Weighted Hardy Type Spaces. Chin. Ann. Math. Ser. B 44, 391–406 (2023). https://doi.org/10.1007/s11401-023-0022-0
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DOI: https://doi.org/10.1007/s11401-023-0022-0
Keywords
- Weighted Hardy spaces
- Variable Hardy spaces
- Maximal operators
- Multilinear Calderón-Zygmund operators
- Multiple weights