The atomic decomposition of \(H^ 1\) in product spaces

DOI10.1016/0001-8708(85)90006-4zbMath0606.42016OpenAlexW2028121247MaRDI QIDQ1084610

Robert A. Fefferman

Publication date: 1985

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(85)90006-4

zbMATH Keywords

atomic decompositionbump functionpolydisknontangential maximal functionstrong maximal function

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) (H^p)-spaces (42B30) Hilbert spaces of continuous, differentiable or analytic functions (46E20)

Related Items (5)

Some recent developments in Fourier analysis and 𝐻^{𝑝}-theory on product domains ⋮ Boundedness of Hausdorff operators on some product Hardy type spaces ⋮ Hardy spaces associated with different homogeneities and boundedness of composition operators ⋮ On the discrepancy function in arbitrary dimension, close to \(L^1\) ⋮ Weighted multi-parameter mixed Hardy spaces and their applications

Cites Work

• Unnamed Item
• A continuous version of duality of \(H^ 1\) with BMO on the bidisc
• An atomic decomposition of distributions in parabolic \(H^p\) spaces
• The Calderon-Zygmund Decomposition on Product Domains
• H ^p theory for the poly-disc

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