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.
Original language | English |
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Pages (from-to) | 587-606 |
Number of pages | 20 |
Journal | Proceedings A: Mathematical, Physical and Engineering Sciences |
Volume | 462 |
Issue number | 2066 |
Early online date | 13 Dec 2005 |
DOIs | |
Publication status | Published - 8 Feb 2006 |
Keywords
- HELP
- boundary mappings
- Titchmarsh-Weyl function
- block operator matrix
- numerical mathematics
- inequality
- copson’s inequality
- hamiltonian system