TY  - JOUR
TI  - On basicity of exponential and trigonometric systems in grand Lebesgue spaces
AB  - 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).
AU  - Zeren, Yusuf
AU  - ISMAILOV, Migdad
AU  - ŞİMŞİR ACAR, Kader
AU  - Aliyarova, Ilahe F.
DO  - 10.15672/hujms.1076849
PY  - 2022
JO  - Hacettepe Journal of Mathematics and Statistics
VL  - 51
IS  - 6
SN  - 1303-5010
SP  - 1577
EP  - 1587
DB  - TRDizin
UR  - http://search/yayin/detay/1163008
ER  -