Block bases of the Haar system as complemented subspaces of $L{\textunderscore }p$, $2<p<\infty $

DOI10.1090/S0002-9939-02-06779-5zbMath1028.46030OpenAlexW1932138087MaRDI QIDQ4779848

Gideon Schechtman, Dvir Kleper

Publication date: 28 October 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06779-5

zbMATH Keywords

complemented subspaceHaar systemblock basisspace \(L_p\)

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) Classical Banach spaces in the general theory (46B25)

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Cites Work

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• A remarkable rearrangement of the Haar system in $L_p$
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)