Weak Type Estimates for Commutators Generated by the Riesz Transform Associated with Schrödinger Operators

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New Zealand Journal of Mathematics

Vol. 39, (2009), Pages 103-116


Zhiping Wang

Université de Genève

Department of Mathematics

Dalian Maritime University

Dalian, Liaoning, P. R. China

116026

mailto:wangzhiping5088@tom.com

Bolin Ma

Bolin Ma

College of Mathematics and Information Engineering

Jiaxing , Zhejiang, P. R. China

314001

mailto:blma@mail.zjxu.edu.cn

Chuanmei Bi and Canqin Tang

Department of Mathematics

Dalian Maritime University

mailto:tangcq2000@gmail.com


Abstract In this paper, the authors study the weak type estimates for commutators generated by Riesz transform associated with Schrödinger operators and BMOA type functions. Also the boundedness on Hardy spaces is obtained.

Keywords Schrödinger operator, Riesz Transform, Commutator, Hardy Spaces.

Classification (MSC2000) Primary: 42B20, 42B25.

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