| 具有粗糙核的多线性算子在Herz型空间的有界性 |
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| 引用本文： | 陈冬香,陈杰诚.具有粗糙核的多线性算子在Herz型空间的有界性[J].高校应用数学学报(英文版),2003,18(4):467-476. |
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| 作者姓名： | 陈冬香 陈杰诚 |
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| 作者单位： | Chen Dongxiang Chen JiechengDept. of Math.,Zhejiang Univ.,Hangzhou 310028,China. |
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| 基金项目： | Supported by the National Natural Science Foundation of China( 1 9631 0 80,1 9971 0 1 0 ) ,the973terms:( 1 9990 75 1 0 5 ) and the Natural Science Foundation of the Zhejiang Province( RC971 0 7) |
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| 摘 要： | § 1 Introduction and main resultsLet b∈BMO(Rn) and T be a standard Calderon-Zygmund singular integral operator.Define the commutatorb,T] as follows.b,T] f(x) =b(x) Tf(x) -T(bf) (x) .In 3 ] ,the boundedness ofthe commutatorb,T] wasestablished on Lp(Rn) .There are thesimilar results in 1 ,2 ] when the commutator was substituted with the multilinearoperators generated by the singular integral operator T and a Taylor series A(see thedefinition below) .Recently,many mathematicians h…
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| 收稿时间： | 14 September 2002 |
Boundedness of multilinear operators with rough kernel on Herz spaces |
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| Chen Dongxiang,Chen Jiecheng.Boundedness of multilinear operators with rough kernel on Herz spaces[J].Applied Mathematics A Journal of Chinese Universities,2003,18(4):467-476. |
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| Authors: | Chen Dongxiang Chen Jiecheng |
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| Affiliation: | (1) Dept. of Math., Zhejiang Univ., 310028 Hangzhou, China |
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| Abstract: | In this paper, the boundedness of the multilinear operators with rough kernel on the Herz-type spaces is discussed. It is
proved that M
A,Ω,TA,Ω are bounded on K
q
a,p
(R
n
) while M
A, Ω
λ
, are bounded from
to
, respectively.
Supported by the National Natural Science Foundation of China (19631080, 19971010), the 973 terms: (1999075105) and the Natural
Science Foundation of the Zhejiang Province (RC97107). |
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| Keywords: | multilinear operator rough kernel Herz space maximal operator |
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