, Volume 23, Issue 1, pp 113-122

The Boundedness for Commutators of Multipliers

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Abstract

Let [b, T] be the commutator generated by a Lipschitz function b ∈ Lip(β)(0 < β < 1) and multiplier T. The authors studied the boundedness of [b, T] on the Lebesgue spaces and Hardy spaces.

Supported by National 973 project (G.19990751) and the Doctoral Programme Foundation of Institution of Higher Education of China(20040027001).