Unconditional convergence of Fourier expansions in systems of product bases in Orlicz spaces

DOI10.1134/S0001434608050106zbMath1169.42002OpenAlexW1979536895MaRDI QIDQ2518025

Catherine Finet, G. E. Tkebuchava

Publication date: 12 January 2009

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434608050106

zbMATH Keywords

Fourier expansionOrlicz spaceproduct basisCiesielski splineHaar multiple systemsystem of product bases

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) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Other transformations of harmonic type (42C20)

Cites Work

• On a lemma of Marcinkiewicz and its applications to Fourier series
• On bases in Orlicz spaces
• Distribution function inequalities for martingales
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• Unconditional bases
• Extrapolation and interpolation of quasi-linear operators on martingales
• Unconditional bases and bit-level compression
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• Projections in certain Banach spaces
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• EXISTENCE OF A BASIS IN THE SPACE OF FUNCTIONS ANALYTIC IN THE DISK, AND SOME PROPERTIES OF FRANKLIN'S SYSTEM
• Equivalence of Haar and Franklin bases in $L_{p}$ spaces
• Constructive function theory and spline systems
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