A Lebesgue type differentiation theorem for best approximations by constants in Orlicz spaces

DOI10.14321/realanalexch.30.1.0029zbMath1068.41047OpenAlexW1534337369MaRDI QIDQ1772918

Sergio Favier, Felipe Zò

Publication date: 22 April 2005

Published in: Real Analysis Exchange (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14321/realanalexch.30.1.0029

zbMATH Keywords

convergenceOrlicz spacesmaximal functionsbest approximations

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) Maximal functions, Littlewood-Paley theory (42B25) Best approximation, Chebyshev systems (41A50)

Related Items (9)

The best constant approximant operators in Lorentz spaces \(\Gamma _{p,w}\) and their applications ⋮ Extended best polynomial approximation operator in Orlicz–Lorentz spaces ⋮ Extension of the operator of best polynomial approximation in \(L^p(\Omega )\) ⋮ Multivalued Extended BestΦ-Polynomial Approximation Operator ⋮ Inequalities in \(L^{p-1}\) for the extended \(L^p\) best approximation operator ⋮ Inequalities for the extended best polynomial approximation operator in Orlicz spaces ⋮ Extension of the best approximation operator in Orlicz spaces ⋮ Weak inequalities for maximal functions in Orlicz-Lorentz spaces and applications ⋮ Extension of the Best Constant Approximation Operator in Orlicz Spaces

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