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Mk-type Estimates for Multilinear Commutator of Multiplier Operator


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1 College of Mathematics, Department of Science and Information Science, Shaoyang University, Hunan Shaoyang–422004., China
     

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In this paper, we prove the Mk-type inequality for the multilinear commutator related to the multiplier operator. By using the Mk-type inequality, we obtain the weightedLp-norm inequality and the weighted estimates on the generalized Morrey spaces for the multilinear commutator.

Keywords

Multilinear Commutator, Multiplier Operator, BMO, Morrey Spaces
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  • Mk-type Estimates for Multilinear Commutator of Multiplier Operator

Abstract Views: 367  |  PDF Views: 4

Authors

Dazhao Chen
College of Mathematics, Department of Science and Information Science, Shaoyang University, Hunan Shaoyang–422004., China
Lanzhe Liu
College of Mathematics, Department of Science and Information Science, Shaoyang University, Hunan Shaoyang–422004., China

Abstract


In this paper, we prove the Mk-type inequality for the multilinear commutator related to the multiplier operator. By using the Mk-type inequality, we obtain the weightedLp-norm inequality and the weighted estimates on the generalized Morrey spaces for the multilinear commutator.

Keywords


Multilinear Commutator, Multiplier Operator, BMO, Morrey Spaces

References