| Boundedness of Multilinear Operators on Herz Type Spaces： Extreme Cases |
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| 作者姓名： | QiangWU DaChunYANG |
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| 作者单位： | DepartmentofMathematics,BeijingNormalUniversity,Beijing100875,P.R.China |
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| 摘 要： | In this paper, two classes of closely related multilinear singular and fractional integrals,which include the commutators as special cases, are studied and their boundedness on Herz type spaces is discussed. In fact, it is proved that these operators are actually not bounded in certain extreme cases.
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| 关 键 词： | 多线性算子 奇异积分 级数积分 CSMO 赫兹空间 |
| 收稿时间： | 15 May 2001 |
Boundedness of Multilinear Operators on Herz Type Spaces: Extreme Cases |
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| QiangWU DaChunYANG.Boundedness of Multilinear Operators on Herz Type Spaces: Extreme Cases[J].Acta Mathematica Sinica,2005,21(1):81-94. |
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| Authors: | Qiang Wu Da Chun Yang |
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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, two classes of closely related multilinear singular and fractional integrals,
which include the commutators as special cases, are studied and their boundedness on Herz type spaces
is discussed. In fact, it is proved that these operators are actually not bounded in certain extreme cases.
This project is supported by the RFDP (No. 20020027004) and NNSF (No. 10271015) of China |
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| Keywords: | Multilinear operator Singular integral Fractional integral Herz space Hardy space Atom CSMO |
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