齐次Morrey-Herz空间中高阶交换子的中心BMO估计

Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (2): 426-436.

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CBMO Estimates for Higher-Order Commutators onHomogeneous Morrey-Herz Spaces

WANG Li-Wei¹, QU Meng², SHU Li-Sheng²

1.School of |Mathematics and Physics, Anhui Polytechnic University, Anhui Wuhu 241000;
2.School of Mathematics and Computer Science, Anhui Normal University, Anhui Wuhu 241003

Received:2012-09-19 Revised:2013-11-23 Online:2014-04-25 Published:2014-04-25
Supported by:
国家自然科学基金(11201003)和安徽省高校自然科学基金(KJ2013B034)资助.

In this paper, we establish CBMO estimates for the higher-order commutators of Hardy-Littlewood maximal operator and fractional maximal operator with rough kernels. Also, the corresponding results for the higher-order commutators which are generated by a class of sublinear operators are obtained.

Key words: CBMO, Homogeneous Morrey-Herz spaces, Hardy-Littlewood maximal operator, Higher-order commutators

CLC Number:

42B20

Cite this article

WANG Li-Wei, QU Meng, SHU Li-Sheng. CBMO Estimates for Higher-Order Commutators onHomogeneous Morrey-Herz Spaces[J].Acta mathematica scientia,Series A, 2014, 34(2): 426-436.

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CBMO Estimates for Higher-Order Commutators onHomogeneous Morrey-Herz Spaces

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