On basicity of exponential and trigonometric systems in grand Lebesgue spaces
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Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Hacettepe University
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Basis properties of exponential and trigonometric systems in grand Lebesgue spaces Lp) (??, ?) are studied. Based on a shift operator, we consider the subspace Gp) (??, ?) of the space Lp) (??, ?), where continuous functions are dense, and the boundedness of the singular operator in this subspace is proved. We establish the basicity of exponential system {e int}n?Z for Gp) (??, ?) and the basicity of trigonometric systems {sin nt}n?N and {cos nt}n?N0 for Gp) (0, ?).
Açıklama
Anahtar Kelimeler
grand Lebesgue space, exponential system, minimality, density, basis
Kaynak
Hacettepe Journal of Mathematics and Statistics
WoS Q Değeri
Q3
Scopus Q Değeri
N/A
