λ-central BMO estimates for commutators of singular integral operators with rough kernels

λ-central BMO estimates for commutators of singular integral operators with rough kernels
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DOI:
10.1007/s10114-007-1020-y
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发表时间:
2008-03
期刊:
Acta Mathematica Sinica, English Series
影响因子:
--
通讯作者:
Z. Fu;Yan Lin;Shan-zhen Lu
Z. Fu;Yan Lin;Shan-zhen Lu
中科院分区:
其他
文献类型:
--
作者:
Z. Fu;Yan Lin;Shan-zhen Lu

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在中心Morrey空间上建立了粗糙核奇异积分算子对易子的λ- centralmo_估计。此外,讨论了一类多次线性算子在中心Morrey空间积上的有界性。作为其特例,可以分别推导出多元线性Calderón-Zygmund算子和多元线性分数阶积分算子的相应结果。
The authors establishλ-centralBMOestimates for commutators of singular integral operators with rough kernels on central Morrey spaces. Moreover, the boundedness of a class of multisublinear operators on the product of central Morrey spaces is discussed. As its special cases, the corresponding results of multilinear Calderón-Zygmund operators and multilinear fractional integral operators can be deduced, respectively.