Spaces between $H^{1}$ and $L^{1}$

DOI10.1090/S0002-9939-08-09223-XzbMath1138.42009arXivmath/0511207MaRDI QIDQ5448938

Wael Abu-Shammala, Alberto Torchinsky

Publication date: 10 March 2008

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

Full work available at URL: https://arxiv.org/abs/math/0511207

zbMATH Keywords

Hardy spaceatomintermediate space\(K\) functional

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) (H^p)-spaces (42B30) Abstract interpolation of topological vector spaces (46M35) Research exposition (monographs, survey articles) pertaining to harmonic analysis on Euclidean spaces (42-02)

Related Items

The atomic decomposition in 𝐿¹(𝑅ⁿ) ⋮ Atomic Hardy-type spaces between \( H^1\) and \( L^1\) on metric spaces with non-doubling measures ⋮ Atomic subspaces of \(L_1\)-martingale spaces ⋮ Characterizations of the Hardy space 𝐻¹(ℝ) and BMO(ℝ) ⋮ Invertibility of operators on atomic subspaces of \(L^1\) and an application to the Neumann problem

Cites Work

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• Some weighted norm inequalities concerning the Schrödinger operators
• Interpolation Between H p Spaces: The Real Method
• Subspaces of $L^{1}(\mathbb {R}^{d})$
• The local versions of $H^p(ℝ^n)$ spaces at the origin
• Singular integral operators with rough convolution kernels
• The atomic decomposition in 𝐿¹(𝑅ⁿ)
• Sharp Lorentz space estimates for rough operators
• Marcinkiewicz integral on Hardy spaces