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Journal of Function Spaces and Applications
Volume 7, Issue 3, Pages 241-250
http://dx.doi.org/10.1155/2009/203934

The boundedness of commutator of Riesz transform associated with Schrödinger operators on a Hardy space

Canqin Tang and Chuanmei Bi

Department of Mathematics, Dalian Maritime University, Dalian, Liaoning, 116026, China

Received 1 April 2008

Academic Editor: Vladimir Maz'ya

Copyright © 2009 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

In this paper, we study the boundedness of commutator [b,T] of Riesz transform associated with Schrödinger operator and b is BMO type function, note that the kernel of T has no smoothness, and the boundedness from Hb1(Rn)→L1(Rn) is obtained.