Subspaces of $L^{1}(\mathbb {R}^{d})$

DOI10.1090/S0002-9939-04-07463-5zbMath1045.42017OpenAlexW1607947367MaRDI QIDQ4811878

Caroline Sweezy

Publication date: 6 September 2004

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-04-07463-5

zbMATH Keywords

Hardy spacesingular integralBMOdual spacesgrand maximal functionvanishing mean oscillationbounded mean oscillation

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) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) (H^p)-spaces (42B30)

Related Items (6)

The atomic decomposition in 𝐿¹(𝑅ⁿ) ⋮ Integrability spaces for the Fourier transform of a function of bounded variation ⋮ Atomic Hardy-type spaces between \( H^1\) and \( L^1\) on metric spaces with non-doubling measures ⋮ Atomic subspaces of \(L_1\)-martingale spaces ⋮ Spaces between $H^{1}$ and $L^{1}$ ⋮ Invertibility of operators on atomic subspaces of \(L^1\) and an application to the Neumann problem

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