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关于Marcinkiewicz 积分高阶交换子在 弱Hardy 空间中的有界性(PDF)

《纯粹数学与应用数学》[ISSN:1008-5513/CN:61-1240/O1]

期数:
2010年01期
页码:
42
栏目:
出版日期:
2010-01-15

文章信息/Info

Title:
On boundedness of the high order commutators of Marcinkiewicz integrals on weak Hardy spaces of atom type
作者:
张松艳1;2 周根娇3 陶祥兴4
(1.浙江科技学院经管学院, 浙江杭州310023; 2.宁波大学数学系, 浙江宁波315211; 3.赣南师范学院科技学院, 江西赣州341000; 4.浙江科技学院数学系, 浙江杭州310023)
Author(s):
ZHANG Song-yan 1;2 ZHOU Gen-jiao 3 TAO Xiang-xing 4
(1.Department of Economics, Zhejiang University of Science and Technology, Hangzhou 310023, China; 2.Department of Mathematics, Ningbo University, Ningbo 315211, China; 3.School of Science and Technology, Gannan Normal University, Gannan 341000, China; 4.Department of Mathematics, Zhejiang University of Science and Technology, Hangzhou 310023, China)
关键词:
Marcinkiewicz积分 高阶交换子 原子型弱Hardy空间
Keywords:
Marcinkiewicz integral high order commutator weak Hardy space of atom type
分类号:
O174.2
DOI:
-
文献标识码:
A
摘要:
设1-是带非光滑核-的Marcinkiewicz积分算子, m是正整数, 1m -;b是算子1- 与BMO函数b产生的m 阶交换子. 利用原子分解和Littlewood-Paley技术, 该文建立了 高阶交换子1m -;b在一类原子型弱Hardy空间WHp b;m(0 < p · 1)中的有界性.
Abstract:
Let 1- be the Marcinkiewicz integral operator with the non-smooth kernel -, m be any positive integer, and 1m -;b be the commutator of 1- and b 2 BMO(Rn). The boundedness for the high order commutator 1m -;b on some weak Hardy space of atom type, WHp b;m(0 < p < 1), has been obtained by the atomic decomposition and the Littlewood-Paley's technique.

参考文献/References

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备注/Memo

备注/Memo:
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更新日期/Last Update: 2010-01-15