A sharp uncertainty principle and hardy-poincaŕe inequalities on sub-riemannian manifolds

Semra Ahmetolan; Ismail Kombe

doi:10.7153/mia-15-40

A sharp uncertainty principle and hardy-poincaŕe inequalities on sub-riemannian manifolds

Semra Ahmetolan^*, Ismail Kombe

^*Corresponding author for this work

Department of Mathematics Engineering

Istanbul Ticaret University

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

4 Citations (Scopus)

Abstract

We prove a sharp Heisenberg uncertainty principle inequality and Hardy-Poincaŕe inequality on the sub-Riemannian manifold R2n+1 = Rn ×Rn ×R defined by the vector fields: where |z| = (|x|2 +|y|2)1/2 and k1.

Original language	English
Pages (from-to)	457-467
Number of pages	11
Journal	Mathematical Inequalities and Applications
Volume	15
Issue number	2
DOIs	https://doi.org/10.7153/mia-15-40
Publication status	Published - Apr 2012

Keywords

Hardy-Poincaŕe inequality
Uncertainty principle inequality

Access to Document

10.7153/mia-15-40

Cite this

@article{3102129f4cad4b298c52c7764e374f51,

title = "A sharp uncertainty principle and hardy-poinca{\'r}e inequalities on sub-riemannian manifolds",

abstract = "We prove a sharp Heisenberg uncertainty principle inequality and Hardy-Poinca{\'r}e inequality on the sub-Riemannian manifold R2n+1 = Rn ×Rn ×R defined by the vector fields: where |z| = (|x|2 +|y|2)1/2 and k1.",

keywords = "Hardy-Poinca{\'r}e inequality, Uncertainty principle inequality",

author = "Semra Ahmetolan and Ismail Kombe",

year = "2012",

month = apr,

doi = "10.7153/mia-15-40",

language = "English",

volume = "15",

pages = "457--467",

journal = "Mathematical Inequalities and Applications",

issn = "1331-4343",

publisher = "Element D.O.O.",

number = "2",

}

TY - JOUR

T1 - A sharp uncertainty principle and hardy-poincaŕe inequalities on sub-riemannian manifolds

AU - Ahmetolan, Semra

AU - Kombe, Ismail

PY - 2012/4

Y1 - 2012/4

N2 - We prove a sharp Heisenberg uncertainty principle inequality and Hardy-Poincaŕe inequality on the sub-Riemannian manifold R2n+1 = Rn ×Rn ×R defined by the vector fields: where |z| = (|x|2 +|y|2)1/2 and k1.

AB - We prove a sharp Heisenberg uncertainty principle inequality and Hardy-Poincaŕe inequality on the sub-Riemannian manifold R2n+1 = Rn ×Rn ×R defined by the vector fields: where |z| = (|x|2 +|y|2)1/2 and k1.

KW - Hardy-Poincaŕe inequality

KW - Uncertainty principle inequality

UR - https://www.scopus.com/pages/publications/84866420582

U2 - 10.7153/mia-15-40

DO - 10.7153/mia-15-40

M3 - Article

AN - SCOPUS:84866420582

SN - 1331-4343

VL - 15

SP - 457

EP - 467

JO - Mathematical Inequalities and Applications

JF - Mathematical Inequalities and Applications

IS - 2

ER -

A sharp uncertainty principle and hardy-poincaŕe inequalities on sub-riemannian manifolds

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this