| The Hardy Spaces Estimates for the Commutator of Marcinkiewicz Integral |
| Received:December 18, 2006 Revised:September 04, 2007 |
| Key Words:
commutator Marcinkiewicz integral Lipschitz space Hardy space Herz type Hardy space.
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| Fund Project:the National Natural Science Foundation of China (No.10371080); the Key Program Foundation of Ministry of Education of China (No.108136). |
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| Abstract: |
| In this paper, we obtain the $(H^1,L^{n/(n-\beta)})$ and $(H\dot{K}^{n(1-1/q_1),p}_{q_1},\dot{K}^{n(1-1/q_1),p}_{q_2})$ type estimates for the commutator of Marcinkiewicz integral with the kernel satisfying the logarithmic type Lipschitz conditions. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2009.01.018 |
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