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

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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.",

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AU - Ahmetolan, Semra

AU - Kombe, Ismail

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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

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DO - 10.7153/mia-15-40

M3 - Article

AN - SCOPUS:84866420582

SN - 1331-4343

VL - 15

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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

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