A general HELP inequality connected with symmetric operators

M. Langer

doi:10.1098/rspa.2005.1576

A general HELP inequality connected with symmetric operators

M. Langer

Mathematics And Statistics

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

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
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	https://doi.org/10.1098/rspa.2005.1576
Publication status	Published - 8 Feb 2006

Keywords

HELP
boundary mappings
Titchmarsh-Weyl function
block operator matrix
numerical mathematics
inequality
copson’s inequality
hamiltonian system

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10.1098/rspa.2005.1576

Cite this

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AB - 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.

KW - HELP

KW - boundary mappings

KW - Titchmarsh-Weyl function

KW - block operator matrix

KW - numerical mathematics

KW - inequality

KW - copson’s inequality

KW - hamiltonian system

U2 - 10.1098/rspa.2005.1576

DO - 10.1098/rspa.2005.1576

M3 - Article

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VL - 462

SP - 587

EP - 606

JO - Proceedings A: Mathematical, Physical and Engineering Sciences

JF - Proceedings A: Mathematical, Physical and Engineering Sciences

IS - 2066

ER -

A general HELP inequality connected with symmetric operators

Abstract

Keywords

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