Parabolic Littlewood-Paley g-function with rough kernel |
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Authors: | Qing Ying Xue Yong Ding Kôzô Yabuta |
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Institution: | (1) School of Mathematical Sciences, Laboratory of Mathematics and Complex Systems(BNU), Ministry of Education, China, Beijing Normal University, Beijing, 100875, P. R. China;(2) School of Science and Technology, Kwansei Gakuin University, Gakuen 2-1, Sanda 669-1337, Japan |
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Abstract: | In this note, we give the L
p
(1 < p < ∞) boundedness of the parabolic Littlewood-Paley g-function with rough kernel.
The research is supported partly by NSFC (Grant: 10571015 and 10701010), SRFDP of China (Grant: 20050027025) and SRF for ROCS,
SEM |
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Keywords: | parabolic Littlewood-Paley g-function mixed homogeneity spaces rough kernel |
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