The singularity property of Banach function spaces and unconditional convergence in \(L^1[0,1]\).

DOI10.1007/S11117-005-0001-6zbMath1117.46011OpenAlexW2008380578MaRDI QIDQ850592

Tengizi S. Kopaliani

Publication date: 3 November 2006

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-005-0001-6

zbMATH Keywords

Banach function spaceunconditional basisHardy-Littlewood maximal operatormodular spacesingularity property

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) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (3)

Construction of function spaces close to \(L^\infty \) with associate space close to \(L^1\) ⋮ Note on the variable exponent Lebesgue function spaces close to \(L^{\infty}\) ⋮ Divergent Fourier series in function spaces near \(L^1[0;1\)]

Cites Work

• On unconditional bases in certain Banach function spaces
• Orlicz spaces and modular spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The singularity property of Banach function spaces and unconditional convergence in \(L^1[0,1]\).