| 乘子算子及其交换子在Morrey空间上的有界性 |
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| 引用本文： | 陈冬香,吴丽丽.乘子算子及其交换子在Morrey空间上的有界性[J].数学学报,2011,54(1):81-88. |
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| 作者姓名： | 陈冬香 吴丽丽 |
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| 作者单位： | 江西师范大学数学系 南昌 330022 |
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| 基金项目： | 国家自然科学基金资助项目(10961015,10871173) 江西省省教育厅自然基金(GJJ10397), 江西师大成长基金(2714),江西省教育厅(GJJ08169) |
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| 摘 要： | 证明了乘子算子(M_p~q(R~n),Lip(β-n/q))的有界性和(M_p~q(R~n),BMO(R~n))的有界性.还得到乘子算子及其交换子在广义Morrey空问Lp,L_(p,φ)(R~n)上的有界性.
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| 关 键 词： | BMO(R~n)空间 Lip(β)空间 乘子算子 交换子 |
| 收稿时间： | 2009-12-29 |
| 修稿时间： | 2010-07-23 |
The Boundedness of Mutiplier Operator and Its Commutator on Morrey Space |
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| Institution: | Department of Mathematics, Jiangxi Normal University, Nanchang 330022, P. R. China |
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| Abstract: | The authors prove that the commutators of Multipliers not only has the (Mpq(Rn), Lip(β-(n/q))(Rn)) boundedness but also has the (Mpq(Rn), BMO(Rn)) boundedness. Furthermore, the boundedness of Multipliers and commutators on the generalized Morrey space Lp,ρ(Rn) is established.
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| Keywords: | BMO space &beta " target="_blank">) spacezz')" href="#"> Lip (&beta ) space multiplier commutator |
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