2009Journal of MathematicsRequires access

A NOTE ON COMMUTATORS OF MARCINKIEWICZ INTEGRAL

Yinsheng Jiang

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Abstract

In this article, we study the high order commutator generated by Marcinkiewicz integral with rough kernel and BMO function. By using the truncated operator, we obtain the boundedness of the commutator on homogeneous Herz spaces.

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In this article, we study the high order commutator generated by Marcinkiewicz integral with rough kernel and BMO function. By using the truncated operator, we obtain the boundedness of the commutator on homogeneous Herz spaces.

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Available abstract

In this article, we study the high order commutator generated by Marcinkiewicz integral with rough kernel and BMO function. By using the truncated operator, we obtain the boundedness of the commutator on homogeneous Herz spaces.

Key concepts: Commutator, Mathematics, Homogeneous, Kernel (algebra), Operator (biology), Pure mathematics, Mathematical analysis, Order (exchange)

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