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积分交换子在Herz型Hardy空间的有界性
引用本文:周根娇.积分交换子在Herz型Hardy空间的有界性[J].适用技术之窗,2010(3):254-256.
作者姓名:周根娇
作者单位:赣南师院科技学院,江西赣州341000
摘    要:设带某些光滑核的Marcinkiewicz积分算子,是正整数,是算子与BMO函数产生的阶交换子。利用原子分解理论,本文建立了高阶交换子从Herz型Hardy空间到弱Herz空间的有界性。

关 键 词:Marcinkiewicz积分交换子  Herz型Hardy空间  Lipschitz空间  原子

Boundedness of Some Marcinkiewicz Integral Operators Related to Commutators in Herz Space
Zhou genjiao.Boundedness of Some Marcinkiewicz Integral Operators Related to Commutators in Herz Space[J].Science & Technology Plaza,2010(3):254-256.
Authors:Zhou genjiao
Affiliation:Zhou genjiao (School of Science and Technology ,Gannan Normal University, Jiangxi Ganzhou 341000)
Abstract:Let be the Marcinkiewicz integral operator with the some smooth kernel ,be any positive integet, and be the commutater of and .The boundedness for the higher order Commutators on Herz-Type Hardy Spaces, has been obtained by the atomic decomposition technique.
Keywords:Higher Marc inkiewicz Integral Commutator  Herz-Type Hardy space  Lipschitz Space  atom
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