The inclusion theorems for variable exponent Lorentz spaces

Öznur KULAK

Makale detayları

The inclusion theorems for variable exponent Lorentz spaces

Yazarlar:

Öznur KULAK

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2016 Vol.40 Issue 3, pp.605-619

Belge Tipi:

Makale

Yayın Tarihi:

5/2016

Belge Dili:

Türkçe

Document ID (Org No.):

2000746981

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

Let (X,Σ,μ)(X,Σ,μ)\left( \text{X,}\Sigma ,\mu \right)  and (X,Σ,ν)(X,Σ,ν)\left( \text{X,}\Sigma ,\nu \right)  be measure spaces. Assume that Lp1(.),q1(.)(X,μ)Lp1(.),q1(.)(X,μ)L^{p_{1}\left( .\right) ,q_{1}\left( .\right) }\left( X,\mu \right)  and Lp2(.),q2(.)(X,ν)Lp2(.),q2(.)(X,ν)L^{p_{2}\left( .\right) ,q_{2}\left( .\right) }\left( X,\nu \right)  are two variable exponent Lorentz spaces where p,q∈P0([0,l])p,q∈P0([0,l])p,q\in P_{0}\left( \left[ 0,l\right] \right) . In this paper we investigated the existence of the inclusion Lp1(.),q1(.)(X,μ)Lp1(.),q1(.)(X,μ)L^{p_{1}\left( .\right) ,q_{1}\left( .\right) }\left( X,\mu \right)  ⊂Lp2(.),q2(.)(X,ν)⊂Lp2(.),q2(.)(X,ν)\subset L^{p_{2}\left( .\right) ,q_{2}\left( .\right) }\left( X,\nu \right)  under what conditions for two measures μμ\mu  and νν\nu  on (X,Σ).(X,Σ).\left( X,\Sigma \right) .

Makale detayları

The inclusion theorems for variable exponent Lorentz spaces

Yazarlar: Öznur KULAK

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2016 Vol.40 Issue 3, pp.605-619

Belge Tipi: Makale

Yayın Tarihi: 5/2016

Belge Dili: Türkçe

Document ID (Org No.): 2000746981

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Öznur KULAK

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2016 Vol.40 Issue 3, pp.605-619

Belge Tipi:

Makale

Yayın Tarihi:

5/2016

Belge Dili:

Türkçe

Document ID (Org No.):

2000746981

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098