Weighted estimates for the multilinear commutators of the Littlewood-Paley operators  被引量:8

Weighted estimates for the multilinear commutators of the Littlewood-Paley operators

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作  者:XUE QingYing DING Yong 

机构地区:[1]School of Mathematical Sciences,Beijing Normal University,Laboratory of Mathematics and Complex Systems,Ministry of Education,Beijing 100875,China

出  处:《Science China Mathematics》2009年第9期1849-1868,共20页中国科学:数学(英文版)

基  金:supported by National Natural Science Foundation of China (Grant No.10701010) ;the Scientific Research Foundation for the Returned Overseas Chinese Scholars,State Education Ministry;supported by National Natural Science Foundation of China (Grant No.10571015) ;Research Fund for the Doctoral Program of Higher Education of China (Grant No.20050027025)

摘  要:In this paper, weighted Lp estimates and sharp weighted endpoint estimates for the mul-tilinear commutators of the Littlewood-Paley operators are established.In this paper, weighted L p estimates and sharp weighted endpoint estimates for the multilinear commutators of the Littlewood-Paley operators are established.

关 键 词:Littlewod-Paley operators multilinear commutators sharp function Young function space Oscexp L r endpoint estimates 42B25 47G10 

分 类 号:O177[理学—数学]

 

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