On a system of piecewise linear functions with vanishing integrals on \(R\)

DOI10.3103/S1068362316020035zbMath1355.42027MaRDI QIDQ2631003

K. A. Keryan, Gegham Gevorkyan

Publication date: 28 July 2016

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

zbMATH Keywords

Hardy spacegeneral Franklin systems

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) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (2)

Orthonormal spline systems on \(\mathbb R\) with zero means as bases in \(H^1(\mathbb R)\) ⋮ On unconditional basis property in the space \(H^1(\mathbb R)\) of a system of Franklin functions with vanishing means

Cites Work

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• General periodic Franklin system as a basis in \(H^1[0,1\)]
• On a generalization of general Franklin system on \(R\)
• Projections onto piecewise linear functions
• \(H^p\) spaces of several variables
• General Franklin systems as bases in H¹[0,1]
• A real variable characterization of $H^{p}$
• Unconditionality of general Franklin systems in L^p[0,1, 1<p<∞]

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