Journal of Function Spaces

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Journal of Function Spaces / 2009 / Article

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Volume 7 |Article ID 203934 | 10 pages | https://doi.org/10.1155/2009/203934

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

Canqin Tang1 and Chuanmei Bi1

1Department of Mathematics, Dalian Maritime University, Dalian, Liaoning, 116026, China

Academic Editor: Vladimir Maz'ya
Received01 Apr 2008

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.

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.

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