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

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Istanbul Ticaret University

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

4 Atıf (Scopus)

Özet

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.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	457-467
Sayfa sayısı	11
Dergi	Mathematical Inequalities and Applications
Hacim	15
Basın numarası	2
DOI'lar	https://doi.org/10.7153/mia-15-40
Yayın durumu	Yayınlandı - Nis 2012

Belgeye Erişim

10.7153/mia-15-40

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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

AU - Ahmetolan, Semra

AU - Kombe, Ismail

PY - 2012/4

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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

UR - http://www.scopus.com/inward/record.url?scp=84866420582&partnerID=8YFLogxK

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

Özet

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap