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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Hardy type and Rellich type inequalities on the Heisenberg group


Authors: Pengcheng Niu, Huiqing Zhang and Yong Wang
Journal: Proc. Amer. Math. Soc. 129 (2001), 3623-3630
MSC (2000): Primary 35H05, 46E35
Published electronically: May 21, 2001
MathSciNet review: 1860496
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Abstract:

This paper contains some interesting Hardy type inequalities and Rellich type inequalities for the left invariant vector fields on the Heisenberg group.


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Additional Information

Pengcheng Niu
Affiliation: Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an, 710072, People’s Republic of China
Email: niupengcheng.iamlxl@nwpu.edu.cn

Huiqing Zhang
Affiliation: Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an, 710072, People’s Republic of China

Yong Wang
Affiliation: Department of Science and Engineering of Management, Sichuan University, Chengdu, 610064, People’s Republic of China

DOI: http://dx.doi.org/10.1090/S0002-9939-01-06011-7
PII: S 0002-9939(01)06011-7
Keywords: Inequalities, left invariant vector fields, Heisenberg group
Received by editor(s): February 10, 2000
Received by editor(s) in revised form: April 20, 2000
Published electronically: May 21, 2001
Additional Notes: This research was supported by the National Natural Science Foundation of China and the Shuangxin Plan at Northwestern Polytechnical University.
Communicated by: David S. Tartakoff
Article copyright: © Copyright 2001 American Mathematical Society