Universal function for a weighted space Lμ1[0,1]

Universal function for a weighted space Lμ1[0,1]

It is shown that there exist such a function g ∈ L 1 [ 0 , 1 ] and a weight function 0 < μ ( x ) ≤ 1 that g is universal for the weighted space L μ 1 [ 0 , 1 ] with respect to signs of its Fourier–Walsh coefficients.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Positivity : an international journal devoted to the theory and applications of positivity in analysis 2017-12, Vol.21 (4), p.1457-1482
Hauptverfasser: Sargsyan, Artsrun, Grigoryan, Martin
Format: Artikel
Sprache:eng
Schlagworte:
Calculus of Variations and Optimal Control
Optimization
Econometrics
Fourier Analysis
Mathematics
Mathematics and Statistics
Operator Theory
Potential Theory
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:It is shown that there exist such a function g ∈ L 1 [ 0 , 1 ] and a weight function 0 < μ ( x ) ≤ 1 that g is universal for the weighted space L μ 1 [ 0 , 1 ] with respect to signs of its Fourier–Walsh coefficients.
ISSN:1385-1292
1572-9281
DOI:10.1007/s11117-017-0479-8