Langer, M. (2006) A general HELP inequality connected with symmetric operators. Proceedings A: Mathematical, Physical and Engineering Sciences, 462 (2066). pp. 587-606. ISSN 1364-5021
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Official URL: http://dx.doi.org/10.1098/rspa.2005.1576
Abstract
In this paper, a general HELP (Hardy-Everitt-Littlewood-Pólya) inequality is considered which is connected with a symmetric operator in a Hilbert space and abstract boundary mappings. A criterion for the validity of such an inequality in terms of the abstract Titchmarsh-Weyl function is proved and applied to Sturm-Liouville operators, difference operators, a Hamiltonian system and a block operator matrix.
| Item type: | Article |
|---|---|
| ID code: | 4552 |
| Keywords: | HELP , boundary mappings, Titchmarsh-Weyl function, block operator matrix, numerical mathematics, inequality, copson’s inequality, hamiltonian system, Mathematics |
| Subjects: | Science > Mathematics |
| Department: | Faculty of Science > Mathematics and Statistics |
| Related URLs: | |
| Depositing user: | Strathprints Administrator |
| Date Deposited: | 01 Nov 2007 |
| Last modified: | 25 Aug 2012 06:12 |
| URI: | http://strathprints.strath.ac.uk/id/eprint/4552 |
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