| Boundedness of Some Marcinkiewicz Integral Operators Related to Higher Order Commutators on Hardy Spaces |
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| 作者姓名： | Shan Zhen LU Li Fang XU |
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| 作者单位： | Department of Mathematics, Beijing Normal University, Beijing 100875, P. R. China |
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| 基金项目： | Supported by the National 9i3 Project （G. 19990751） and the SEDF （20010027002） |
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| 摘 要： | In this paper, the authors study the boundedness properties of μΩ↑m,b generated by the function b ∈Lipβ（R^n）（0 〈β≤ 1/m） and the Marcinkiewicz integrals operator μΩ. The boundednesses are established on the Hardy type spaces Hb^m^p,n（R^n） and the Herz Hardy type spaces Hbm Kq^α,p（R^b）.
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| 关 键 词： | Lipshcitz空间 有序换位子 Marcinkiewicz积分 Hardy空间 |
| 收稿时间： | 2003-04-01 |
| 修稿时间： | 2003-04-012004-07-06 |
Boundedness of Some Marcinkiewicz Integral Operators Related to Higher Order Commutators on Hardy Spaces |
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| Shan Zhen LU Li Fang XU.Boundedness of Some Marcinkiewicz Integral Operators Related to Higher Order Commutators on Hardy Spaces[J].Acta Mathematica Sinica,2006,22(1):105-114. |
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| Authors: | Shan Zhen Lu Li Fang Xu |
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| Institution: | (1) Department of Mathematics, Beijing Normal University, Beijing 100875, P. R. China |
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| Abstract: | In this paper, the authors study the boundedness properties of
generated by the
function b ∈ Lip
β
(ℝn)(0 < β ≤ 1/m) and the Marcinkiewicz integrals operator μ
Ω
. The boundednesses
are established on the Hardy type spaces
and the Herz–Hardy type spaces
.
Supported by the National 973 Project (G. 19990751) and the SEDF (20010027002) |
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| Keywords: | Marcinkiewicz integral Higher order commutator Lipshcitz space Hardy type space Herz space |
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