On local equivalence of the majorant of partial sums and Paley function of Franklin series

DOI10.3103/S1068362317010058zbMath1371.42035OpenAlexW2623000004MaRDI QIDQ528883

K. A. Keryan, Gegham Gevorkyan

Publication date: 17 May 2017

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1068362317010058

zbMATH Keywords

Franklin systemunconditional basisPaley function

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) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Cites Work

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• On series with respect to the Franklin system
• Basis properties of Hardy spaces
• Unboundedness of the shift operator with respect to the Franklin system in the space \(L_ 1\)
• Some inequalities for Franklin series
• Projections in certain Banach spaces
• Properties of the orthonormal Franklin system, II
• Properties of the orthonormal Franklin system

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