On a Closed Subspace of L^(p(.)(Ω))

Yasin KAYA

Makale detayları

On a Closed Subspace of L^(p(.)(Ω))

Yazarlar:

Yasin KAYA

Yayıncı:

Bitlis Eren University

Dergi:

Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 2020 Vol.9 Issue 2, pp.682-688

Belge Tipi:

Makale

Yayın Tarihi:

6/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000889118

Sıklık:

Üç Aylık

eISSN:

2147-3188

pISSN:

2147-3129

Anahtar kelimeler:

Özet:

 

In this study, we first give a description of L^(p(.)(Ω)) spaces. These spaces are an important generalization of
classical Lebesgue spaces. We mention 
their various applications in engineering and physics fields. Thereafter,
as it is naturally,  one of the main task
in L^(p(.)(Ω)) spaces is to generalize known properties classical Lebesgue
spaces L^p(Ω))  to L^(p(.)(Ω)) spaces.  Provided that measure of the set Ω  is finite, we extend a
theorem which about a closed subspace of  space, from constant exponent
to variable exponent. Our proof method based on embedding between L^(p(.)(Ω)) - L^p(Ω)) spaces and the proof
of constant case. The essence of the method is to take advantage
of properties of Hilbert space L^2(Ω)), and also based on the use of the closed
graph theorem and finite measure of the set Ω.

Makale detayları

On a Closed Subspace of L^(p(.)(Ω))

Yazarlar:

Yasin KAYA

Yayıncı:

Bitlis Eren University

Dergi:

Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 2020 Vol.9 Issue 2, pp.682-688

Belge Tipi:

Makale

Yayın Tarihi:

6/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000889118

Sıklık:

Üç Aylık

eISSN:

2147-3188

pISSN:

2147-3129

Variable Exponent

Lebesgue Space

Closed Subspace

Sayı

Makale detayları

On a Closed Subspace of L^(p(.)(Ω))

Yazarlar: Yasin KAYA

Yayıncı: Bitlis Eren University

Dergi: Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 2020 Vol.9 Issue 2, pp.682-688

Belge Tipi: Makale

Yayın Tarihi: 6/2020

Belge Dili: İngilizce

Document ID (Org No.): 2000889118

Sıklık: Üç Aylık

eISSN: 2147-3188

pISSN: 2147-3129

Variable Exponent

Lebesgue Space

Closed Subspace

Sayı

Yazarlar:

Yasin KAYA

Yayıncı:

Bitlis Eren University

Dergi:

Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 2020 Vol.9 Issue 2, pp.682-688

Belge Tipi:

Makale

Yayın Tarihi:

6/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000889118

Sıklık:

Üç Aylık

eISSN:

2147-3188

pISSN:

2147-3129