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A family of complemented subspaces in VMO and its isomorphic classification

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Publication:1812259
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DOI10.1007/BF02787409zbMath1061.46030MaRDI QIDQ1812259

Paul F. X. Müller

Publication date: 2003

Published in: Israel Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

complemented subspaceHaar basisCarleson constant


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) Function spaces arising in harmonic analysis (42B35)


Related Items (2)

Addendum: Closed ideals of operators between the classical sequence spaces: ( Bull. Lond. Math. Soc . 49 (2017) 859–876) ⋮ Banach spaces for which the space of operators has 2𝔠closed ideals



Cites Work

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  • Distribution function inequalities for martingales
  • Interpolating sequences and separation properties
  • On subsequences of the Haar basis in H¹(δ) and isomorphisms between H¹-spaces
  • Symmetric structures in Banach spaces
  • Operators into Lp which Factor Through lp
  • A remarkable rearrangement of the Haar system in $L_p$


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