Hardy type and Rellich type inequalities on the Heisenberg group
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- by Pengcheng Niu, Huiqing Zhang and Yong Wang PDF
- Proc. Amer. Math. Soc. 129 (2001), 3623-3630 Request permission
Abstract:
This paper contains some interesting Hardy type inequalities and Rellich type inequalities for the left invariant vector fields on the Heisenberg group.References
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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
- 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
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 3623-3630
- MSC (2000): Primary 35H05, 46E35
- DOI: https://doi.org/10.1090/S0002-9939-01-06011-7
- MathSciNet review: 1860496