Original Papers

Acta Mathematicae Applicatae Sinica, English Series

, Volume 23, Issue 1, pp 113-122

First online:

The Boundedness for Commutators of Multipliers

  • Wen-ming LiAffiliated withCollege of Mathematics and Information Science, Hebei Normal University
  • , Shan-zhen LuAffiliated withSchool of Mathematical Sciences, Beijing Normal University
  • , Hui-xia MoAffiliated withSchool of Sciences, Beijing University of Post and TelecommunicationsSchool of Mathematical Sciences, Beijing Normal University Email author 

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access

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.

Keywords

Commutator multiplier Lipschitz space hardy space

2000 MR Subject Classification

42B20 42B25