Unconditionality of general Franklin systems in Lp[0,1], 1<p<∞

DOI10.4064/sm164-2-4zbMath1056.42022OpenAlexW2003771158MaRDI QIDQ4821079

Anna Kamont, Gegham Gevorkyan

Publication date: 7 October 2004

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/sm164-2-4

zbMATH Keywords

Franklin systemunconditional basisgreedy basis

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)

Related Items (16)

On uniqueness of series by general Franklin system ⋮ On a system of piecewise linear functions with vanishing integrals on \(R\) ⋮ The Gibbs phenomenon for general Franklin systems ⋮ Periodic orthonormal spline systems with arbitrary knots as bases in \(H^1(\mathbb{T}) \) ⋮ Uniqueness of series by general Franklin system with convergent subsequence of partial sums ⋮ Menshov-type theorem for divergence sets of sequences of localized operators ⋮ On a generalization of general Franklin system on \(R\) ⋮ A uniqueness theorem for series by Stromberg's system ⋮ An algebraic characterization of B-splines ⋮ Majorant and Paley function for series in general Franklin systems ⋮ On absolute convergence of series by a general Franklin system ⋮ On series by general Franklin system ⋮ Representation of measurable functions in Franklin general system ⋮ 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 ⋮ Unconditionality of orthogonal spline systems in H¹

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