| Title | SHARP WEIGHTED RELLICH AND UNCERTAINTY PRINCIPLE INEQUALITIES ON CARNOT GROUPS |
| Publication Type | Journal Article |
| Year of Publication | 2010 |
| Authors | KOMBE, ISMAIL |
| Secondary Title | Communications in Applied Analysis |
| Volume | 14 |
| Issue | 2 |
| Start Page | 251 |
| Pagination | 272 |
| Date Published | 04/2010 |
| Type of Work | scientific: mathematics |
| ISSN | 1083–2564 |
| AMS | 22E30, 26D10., 43A80 |
| Abstract | In this work we prove sharp weighted Rellich-type inequalities and their improved versions for general Carnot groups. To derive the improved Rellich-type inequalities we have established new weighted Hardy-type inequalities with remainder terms. We also prove new sharp forms of the weighted Hardy-Poincare and uncertainty principle inequalities for polarizable Carnot groups.
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| URL | http://www.acadsol.eu/en/articles/14/2/10.pdf |
| Short Title | SHARP RELLICH AND UNCERTAINTY PRINCIPLE INEQUALITIES |
| Refereed Designation | Refereed |
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