The best constant approximant operators in Lorentz spaces \(\Gamma _{p,w}\) and their applications

DOI10.1016/j.jat.2010.04.002zbMath1205.41025OpenAlexW2012206480MaRDI QIDQ606664

Maciej Ciesielski, Anna Kaminska

Publication date: 18 November 2010

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2010.04.002

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Best constants in approximation theory (41A44)

Related Items (3)

Lebesgue's differentiation theorems in r.i. quasi-Banach spaces and Lorentz spaces \(\Gamma_{p,w}\) ⋮ Inequalities in \(L^{p-1}\) for the extended \(L^p\) best approximation operator ⋮ Local monotonicity structure of symmetric spaces with applications

Cites Work

• Best constant approximants in Lorentz spaces
• On the isometries of the Lorentz function spaces
• A Lebesgue type differentiation theorem for best approximations by constants in Orlicz spaces
• On Lorentz spaces \(\Gamma_{p,w}\)
• Weak inequalities for maximal functions in Orlicz-Lorentz spaces and applications
• Measure preserving transformations and rearrangements
• Gâteaux derivatives and their applications to approximation in Lorentz spaces Γ _p,w
• Gateaux differentiability in Orlicz–Lorentz spaces and applications
• Best approximants in L ? -spaces
• Maximal inequalities and Lebesgue's differentiation theorem for best approximant by constant over balls
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