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Boundedness of Higher Order Commutators of Fractional Integral Operators on Homogeneous Morrey-Herz Spaces 被引量:3
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作者 陶双平 武江龙 《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2007年第3期505-512,共8页
Some boundedness results are established in the setting of homogeneous Morrey-Herz spaces for a class of higher order commutators T^mb,l and M^mb,l generated by fractional integral operators Tl and maximal fractional ... Some boundedness results are established in the setting of homogeneous Morrey-Herz spaces for a class of higher order commutators T^mb,l and M^mb,l generated by fractional integral operators Tl and maximal fractional operators Ml with function b(x) in BMO(R^n), respectively. 展开更多
关键词 higher order commutators homogeneous Morrey-Herz space fractional integraloperator maximal fractional operator BMO(Rn).
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Boundedness of Some Marcinkiewicz Integral Operators Related to Higher Order Commutators on Hardy Spaces 被引量:7
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作者 Shan Zhen LU Li Fang XU 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2006年第1期105-114,共10页
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 t... 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). 展开更多
关键词 Marcinkiewicz integral higher order commutator Lipshcitz space Hardy type space Herz space
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