Universal series by trigonometric system in weighted \(L_{\mu }^{1}\) spaces

DOI10.1155/IJMMS/2006/62909zbMath1133.42008arXiv1501.00827MaRDI QIDQ2644158

Sergo A. Episkoposian

Publication date: 7 September 2007

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.00827

zbMATH Keywords

integrable functionsuniversal seriestrigonometric series, weighted spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Summability and absolute summability of Fourier and trigonometric series (42A24)

Cites Work

• Representation of functions in the weighted space \(L^1_{\mu}\) by trigonometric and Walsh series
• On the existence of universal series by trigonometric system
• On the representation of functions by orthogonal series in weighted $L^p$ spaces
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