Improved hardy and rellich type inequalities with two weight functions

Semra Ahmetolan; Ismail Kombe

doi:10.7153/mia-2018-21-60

Improved hardy and rellich type inequalities with two weight functions

Semra Ahmetolan
, Ismail Kombe

Matematik Bölümü

Istanbul Ticaret University

Araştırma çıktısı: Dergi yayını › Makale › Hakem

1 Atıf (Scopus)

Özet

In this work, we obtain several improved versions of two weight Hardy and Rellich type inequalities on the sub-Riemannian manifold R²n+¹ defined by the vector fields ∂ ∂ X_j = _{∂ x j} + 2ky _j |z|²k−² _∂ ^∂ _l , Y_j = _{∂ y j} − 2kx _j |z|²k−² _∂ ^∂ _l , j = 1, 2,..., n where (z, l) = (x, y, l) ∈ R²n+¹ , |z| = (|x|² + |y|² )¹/² and k 1 .

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	885-896
Sayfa sayısı	12
Dergi	Mathematical Inequalities and Applications
Hacim	21
Basın numarası	3
DOI'lar	https://doi.org/10.7153/mia-2018-21-60
Yayın durumu	Yayınlandı - Tem 2018

Bibliyografik not

Publisher Copyright:
© 2018 Element D.O.O. All rights reserved.

Belgeye Erişim

10.7153/mia-2018-21-60

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Link to publication in Scopus

Alıntı Yap

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title = "Improved hardy and rellich type inequalities with two weight functions",

abstract = "In this work, we obtain several improved versions of two weight Hardy and Rellich type inequalities on the sub-Riemannian manifold R2n+1 defined by the vector fields ∂ ∂ Xj = ∂ x j + 2ky j |z|2k−2 ∂ ∂ l , Yj = ∂ y j − 2kx j |z|2k−2 ∂ ∂ l , j = 1, 2,..., n where (z, l) = (x, y, l) ∈ R2n+1 , |z| = (|x|2 + |y|2 )1/2 and k 1 .",

keywords = "Improved hardy inequality with two weight functions, Improved rellich inequality with two weight functions",

author = "Semra Ahmetolan and Ismail Kombe",

year = "2018",

month = jul,

doi = "10.7153/mia-2018-21-60",

language = "English",

volume = "21",

pages = "885--896",

journal = "Mathematical Inequalities and Applications",

issn = "1331-4343",

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TY - JOUR

T1 - Improved hardy and rellich type inequalities with two weight functions

AU - Ahmetolan, Semra

AU - Kombe, Ismail

PY - 2018/7

Y1 - 2018/7

N2 - In this work, we obtain several improved versions of two weight Hardy and Rellich type inequalities on the sub-Riemannian manifold R2n+1 defined by the vector fields ∂ ∂ Xj = ∂ x j + 2ky j |z|2k−2 ∂ ∂ l , Yj = ∂ y j − 2kx j |z|2k−2 ∂ ∂ l , j = 1, 2,..., n where (z, l) = (x, y, l) ∈ R2n+1 , |z| = (|x|2 + |y|2 )1/2 and k 1 .

AB - In this work, we obtain several improved versions of two weight Hardy and Rellich type inequalities on the sub-Riemannian manifold R2n+1 defined by the vector fields ∂ ∂ Xj = ∂ x j + 2ky j |z|2k−2 ∂ ∂ l , Yj = ∂ y j − 2kx j |z|2k−2 ∂ ∂ l , j = 1, 2,..., n where (z, l) = (x, y, l) ∈ R2n+1 , |z| = (|x|2 + |y|2 )1/2 and k 1 .

KW - Improved hardy inequality with two weight functions

KW - Improved rellich inequality with two weight functions

UR - https://www.scopus.com/pages/publications/85052671253

U2 - 10.7153/mia-2018-21-60

DO - 10.7153/mia-2018-21-60

M3 - Article

AN - SCOPUS:85052671253

SN - 1331-4343

VL - 21

SP - 885

EP - 896

JO - Mathematical Inequalities and Applications

JF - Mathematical Inequalities and Applications

IS - 3

ER -

Improved hardy and rellich type inequalities with two weight functions

Özet

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