An inequality on weighted Orlicz spaces for a vector-valued extension of the Hardy-Littlewood maximal operator on S^n and P^n(ℝ)

DOI10.7153/MIA-04-51zbMath1012.42015OpenAlexW2984601075MaRDI QIDQ2770416

Sergio Antonio Tozoni, Benjamin Bordin

Publication date: 15 June 2003

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-04-51

zbMATH Keywords

maximal function sphere Banach space Hardy-Littlewood maximal operator weight Muckenhoupt class UMD dyadic partition

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) Linear operators on function spaces (general) (47B38)

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