ON THE DENSITY OF LAGUERRE FUNCTIONS IN SOME BANACH FUNCTION SPACES

被引：0
|
作者：
Fernandes, Claudio [1 ,2 ]
Karlovych, Oleksiy [1 ,2 ]
Valente, Marcio [1 ,2 ]
机构：
[1] Univ Nova Lisboa, Fac Ciencias & Tecnol, Ctr Matemat & Aplicaoes Novamath, P-2829516 Caparica, Portugal
[2] Univ Nova Lisboa, Fac Ciencias & Tecnol, Dept Matemat, P-2829516 Caparica, Portugal
来源：
JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS | 2022年 / 13卷 / 02期
关键词：
Laguerre functions; Banach function space; rearrangement-invariant space; variable Lebesgue space; LEBESGUE;
D O I：
10.54379/JIASF-2022-2-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let lambda > 0 and Phi(lambda) := {phi(1,lambda), phi(2,lambda), ...} be the system of dilated Laguerre functions. We show that if L-1 (R+) boolean AND L-infinity(R+) is embedded into a separable Banach function space X(R+), then the linear span of Phi(lambda) is dense in X(R+). This implies that the linear span of Phi(lambda) is dense in every separable rearrangement-invariant space X(R+) and in every separable variable Lebesgue space L-p(.)(R+).
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页码：37 / 45
页数：9
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