Volume 4,
Issue 5, 2003
Article
103
SOME HARDY TYPE INEQUALITIES IN THE HEISENBERG GROUP
YAZHOU HAN AND PENGCHENG NIU
DEPARTMENT OF APPLIED MATHEMATICS,
NORTHWESTERN POLYTECHNICAL UNIVERSITY,
XI'AN, SHAANXI, 710072,
P.R. CHINA
E-Mail: taoer558@163.com
E-Mail: pengchengniu@yahoo.com.cn
Received 21 January, 2003; Accepted 10 June, 2003.
Communicated by: L. Pick
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ABSTRACT.
Some Hardy type inequalities on the domain in the Heisenberg group are
established by using the Picone type identity and constructing suitable
auxiliary functions.
Key words:
Hardy inequality, Picone identity, Heisenberg group.
2000 Mathematics Subject
Classification:
35H20.
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