Unconditionality of orthogonal spline systems in H1
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Publication:5251732
DOI10.4064/sm226-2-2zbMath1325.42034arXiv1404.5493OpenAlexW4245808816MaRDI QIDQ5251732
K. A. Keryan, Anna Kamont, Markus Passenbrunner, Gegham Gevorkyan
Publication date: 20 May 2015
Published in: Studia Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1404.5493
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) Spline approximation (41A15)
Related Items (4)
Periodic orthonormal spline systems with arbitrary knots as bases in \(H^1(\mathbb{T}) \) ⋮ 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 ⋮ Martingale inequalities for spline sequences
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- The \(L_\infty\)-norm of the \(L_2\)-spline projector is bounded independently of the knot sequence: A proof of de Boor's conjecture
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