Araştırma Makalesi
BibTex RIS Kaynak Göster

On a Closed Subspace of L^(p(.)(Ω))

Yıl 2020, , 682 - 688, 15.06.2020
https://doi.org/10.17798/bitlisfen.651211

Öz

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.

Kaynakça

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Toplam 12 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

Yasin Kaya

Yayımlanma Tarihi 15 Haziran 2020
Gönderilme Tarihi 26 Kasım 2019
Kabul Tarihi 9 Nisan 2020
Yayımlandığı Sayı Yıl 2020

Kaynak Göster

IEEE Y. Kaya, “On a Closed Subspace of L^(p(.)(Ω))”, Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, c. 9, sy. 2, ss. 682–688, 2020, doi: 10.17798/bitlisfen.651211.

Cited By



Bitlis Eren Üniversitesi
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