Several Hardy-type inequalities with weights related to Baouendi--Grushin  operators

ABDULLAH YENER

Makale detayları

Several Hardy-type inequalities with weights related to Baouendi--Grushin operators

Yazarlar:

ABDULLAH YENER

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2018 Vol.42 Issue 6, pp.3050-3060

Belge Tipi:

Makale

Yayın Tarihi:

11/2018

Belge Dili:

Türkçe

Document ID (Org No.):

2000745729

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

In this paper we shall prove several weighted LpLpL^{p} Hardy-type  inequalities associated to the Baouendi-Grushin-type operators Δγ=Δx+|x|2γΔy,Δγ=Δx+|x|2γΔy,\Delta  _{\gamma }=\Delta _{x}+\left\vert x\right\vert ^{2\gamma }\Delta _{y},  where ΔxΔx\Delta _{x} and ΔyΔy\Delta _{y} are the classical Laplace operators in  the variables x∈Rnx∈Rnx\in \mathbb{R}^{n} and y∈Rk,y∈Rk,y\in \mathbb{R}^{k}, respectively,  and γγ\gamma  is a positive real number.

Makale detayları

Several Hardy-type inequalities with weights related to Baouendi--Grushin operators

Yazarlar: ABDULLAH YENER

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2018 Vol.42 Issue 6, pp.3050-3060

Belge Tipi: Makale

Yayın Tarihi: 11/2018

Belge Dili: Türkçe

Document ID (Org No.): 2000745729

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

ABDULLAH YENER

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2018 Vol.42 Issue 6, pp.3050-3060

Belge Tipi:

Makale

Yayın Tarihi:

11/2018

Belge Dili:

Türkçe

Document ID (Org No.):

2000745729

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098