On basicity of exponential and trigonometric systems in grand Lebesgue spaces

Zeren, Yusuf; ISMAILOV, Migdad; ŞİMŞİR ACAR, Kader; Aliyarova, Ilahe F.

doi:10.15672/hujms.1076849

On basicity of exponential and trigonometric systems in grand Lebesgue spaces

Migdad ISMAILOV, (Institute of Mathematics and Mechanics of the NAS, Baku State University, Azerbaijan)

Yusuf ZEREN, (Yıldız Teknik Üniversitesi, Matematik Bölümü, Esenler, İstanbul, Türkiye)

Kader ŞİMŞİR ACAR, (İstanbul Ticaret Üniversitesi, Fen Bilimleri Enstitüsü, Küçükyalı, İstanbul, Türkiye)

Ilahe F. ALİYAROVA (Nahchivan State University, Azerbaijan)

Hacettepe Journal of Mathematics and Statistics

2 1

Yıl: 2022 Cilt: 51 Sayı: 6 Sayfa Aralığı: 1577 - 1587 Metin Dili: İngilizce DOI: 10.15672/hujms.1076849 İndeks Tarihi: 11-04-2023

On basicity of exponential and trigonometric systems in grand Lebesgue spaces

Öz:

Basis properties of exponential and trigonometric systems in grand Lebesgue spaces Lp)(−π,π) are studied. Based on a shift operator, we consider the subspace Gp)(−π,π) of the space Lp)(−π,π), where continuous functions are dense, and the boundedness of the singular operator in this subspace is proved. We establish the basicity of exponential system {eint}n∈Z for Gp)(−π, π) and the basicity of trigonometric systems {sin nt}n∈N and {cos nt}n∈N0 for Gp)(0, π).

Anahtar Kelime: grand Lebesgue space exponential system minimality density basis

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	ISMAILOV M, Zeren Y, ŞİMŞİR ACAR K, Aliyarova I (2022). On basicity of exponential and trigonometric systems in grand Lebesgue spaces. , 1577 - 1587. 10.15672/hujms.1076849
Chicago	ISMAILOV Migdad,Zeren Yusuf,ŞİMŞİR ACAR Kader,Aliyarova Ilahe F. On basicity of exponential and trigonometric systems in grand Lebesgue spaces. (2022): 1577 - 1587. 10.15672/hujms.1076849
MLA	ISMAILOV Migdad,Zeren Yusuf,ŞİMŞİR ACAR Kader,Aliyarova Ilahe F. On basicity of exponential and trigonometric systems in grand Lebesgue spaces. , 2022, ss.1577 - 1587. 10.15672/hujms.1076849
AMA	ISMAILOV M,Zeren Y,ŞİMŞİR ACAR K,Aliyarova I On basicity of exponential and trigonometric systems in grand Lebesgue spaces. . 2022; 1577 - 1587. 10.15672/hujms.1076849
Vancouver	ISMAILOV M,Zeren Y,ŞİMŞİR ACAR K,Aliyarova I On basicity of exponential and trigonometric systems in grand Lebesgue spaces. . 2022; 1577 - 1587. 10.15672/hujms.1076849
IEEE	ISMAILOV M,Zeren Y,ŞİMŞİR ACAR K,Aliyarova I "On basicity of exponential and trigonometric systems in grand Lebesgue spaces." , ss.1577 - 1587, 2022. 10.15672/hujms.1076849
ISNAD	ISMAILOV, Migdad vd. "On basicity of exponential and trigonometric systems in grand Lebesgue spaces". (2022), 1577-1587. https://doi.org/10.15672/hujms.1076849

APA	ISMAILOV M, Zeren Y, ŞİMŞİR ACAR K, Aliyarova I (2022). On basicity of exponential and trigonometric systems in grand Lebesgue spaces. Hacettepe Journal of Mathematics and Statistics, 51(6), 1577 - 1587. 10.15672/hujms.1076849
Chicago	ISMAILOV Migdad,Zeren Yusuf,ŞİMŞİR ACAR Kader,Aliyarova Ilahe F. On basicity of exponential and trigonometric systems in grand Lebesgue spaces. Hacettepe Journal of Mathematics and Statistics 51, no.6 (2022): 1577 - 1587. 10.15672/hujms.1076849
MLA	ISMAILOV Migdad,Zeren Yusuf,ŞİMŞİR ACAR Kader,Aliyarova Ilahe F. On basicity of exponential and trigonometric systems in grand Lebesgue spaces. Hacettepe Journal of Mathematics and Statistics, vol.51, no.6, 2022, ss.1577 - 1587. 10.15672/hujms.1076849
AMA	ISMAILOV M,Zeren Y,ŞİMŞİR ACAR K,Aliyarova I On basicity of exponential and trigonometric systems in grand Lebesgue spaces. Hacettepe Journal of Mathematics and Statistics. 2022; 51(6): 1577 - 1587. 10.15672/hujms.1076849
Vancouver	ISMAILOV M,Zeren Y,ŞİMŞİR ACAR K,Aliyarova I On basicity of exponential and trigonometric systems in grand Lebesgue spaces. Hacettepe Journal of Mathematics and Statistics. 2022; 51(6): 1577 - 1587. 10.15672/hujms.1076849
IEEE	ISMAILOV M,Zeren Y,ŞİMŞİR ACAR K,Aliyarova I "On basicity of exponential and trigonometric systems in grand Lebesgue spaces." Hacettepe Journal of Mathematics and Statistics, 51, ss.1577 - 1587, 2022. 10.15672/hujms.1076849
ISNAD	ISMAILOV, Migdad vd. "On basicity of exponential and trigonometric systems in grand Lebesgue spaces". Hacettepe Journal of Mathematics and Statistics 51/6 (2022), 1577-1587. https://doi.org/10.15672/hujms.1076849