Some Fourier inequalities for orthogonal systems in Lorentz–Zygmund spaces

Some Fourier inequalities for orthogonal systems in Lorentz–Zygmund spaces

A number of classical inequalities and convergence results related to Fourier coefficients with respect to unbounded orthogonal systems are generalized and complemented. All results are given in the case of Lorentz–Zygmund spaces.

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Bibliographische Detailangaben
Veröffentlicht in:Journal of inequalities and applications 2019-06, Vol.2019 (1), p.1-18, Article 171
Hauptverfasser: Akishev, G., Persson, L. E., Seger, A.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Applications of Mathematics
Fourier coefficients
Fourier series
Inequalities
Lorentz–Zygmund spaces
Matematikk og Naturvitenskap: 400
Matematikk: 410
Mathematics
Mathematics and natural science: 400
Mathematics and Statistics
Mathematics: 410
Unbounded orthogonal systems
VDP
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Beschreibung
Zusammenfassung:A number of classical inequalities and convergence results related to Fourier coefficients with respect to unbounded orthogonal systems are generalized and complemented. All results are given in the case of Lorentz–Zygmund spaces.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-019-2117-4