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Parabolic Littlewood-Paley g-function with rough kernel
Authors:Qing Ying Xue  Yong Ding  Kôzô Yabuta
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
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
Keywords:parabolic Littlewood-Paley g-function  mixed homogeneity spaces  rough kernel
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