### Abstract

Language | English |
---|---|

Title of host publication | Analysis on graphs and its applications |

Editors | Pavel Exner, Jonathan P. Keating, Peter Kutchment, Toshikazu Sunada, Alexander Teplyaev |

Pages | 337-354 |

Number of pages | 18 |

Volume | 77 |

Publication status | Published - 15 Nov 2008 |

### Publication series

Name | Proceedings of Symposia in Pure Mathematics |
---|---|

Publisher | American Mathematical Society |

Volume | 77 |

ISSN (Print) | 0082-0717 |

### Fingerprint

### Keywords

- integro-differential equation
- schrodinger-type operators
- metric trees
- discrete trees

### Cite this

*Analysis on graphs and its applications*(Vol. 77, pp. 337-354). (Proceedings of Symposia in Pure Mathematics; Vol. 77).

}

*Analysis on graphs and its applications.*vol. 77, Proceedings of Symposia in Pure Mathematics, vol. 77, pp. 337-354.

**The HELP inequality on trees.** / Brown, B. Malcolm; Langer, Matthias; Schmidt, Karl Michael.

Research output: Chapter in Book/Report/Conference proceeding › Chapter (peer-reviewed)

TY - CHAP

T1 - The HELP inequality on trees

AU - Brown, B. Malcolm

AU - Langer, Matthias

AU - Schmidt, Karl Michael

PY - 2008/11/15

Y1 - 2008/11/15

N2 - We establish analogues of Hardy and Littlewood's integro-differential equation for Schrödinger-type operators on metric and discrete trees, based on a generalised strong limit-point property of the graph Laplacian.

AB - We establish analogues of Hardy and Littlewood's integro-differential equation for Schrödinger-type operators on metric and discrete trees, based on a generalised strong limit-point property of the graph Laplacian.

KW - integro-differential equation

KW - schrodinger-type operators

KW - metric trees

KW - discrete trees

UR - http://www.ams.org/bookstore-getitem/item=pspum-77

M3 - Chapter (peer-reviewed)

SN - 0821844717

VL - 77

T3 - Proceedings of Symposia in Pure Mathematics

SP - 337

EP - 354

BT - Analysis on graphs and its applications

A2 - Exner, Pavel

A2 - Keating, Jonathan P.

A2 - Kutchment, Peter

A2 - Sunada, Toshikazu

A2 - Teplyaev, Alexander

ER -