A Note on Real Interpolation of Hardy Spaces in the Polydisk

DOI10.2307/2046158zbMath0606.42017OpenAlexW4239468307MaRDI QIDQ3744658

Alberto Torchinsky, Björn D. Jawerth

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2046158

zbMATH Keywords

Hardy spacestempered distributionSobolev inequalitypolydisknontangential maximal functionHardy-Littlewood inequalities\(H^ p\) spaces

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) (H^p)-spaces (42B30) Abstract interpolation of topological vector spaces (46M35)

Related Items (3)

Strong summability theorems for \(H_p(\Delta_d)\) ⋮ A discrete transform and decompositions of distribution spaces ⋮ Hardy-Littlewood-type theorems for Fourier transforms in \(\mathbb{R}^d\)

Cites Work

• Unnamed Item
• On the atomic decomposition for Hardy spaces
• On a Hardy and Littlewood imbedding theorem
• Commutator and other second order estimates in real interpolation theory
• A continuous version of duality of \(H^ 1\) with BMO on the bidisc
• The Calderon-Zygmund Decomposition on Product Domains
• H ^p theory for the poly-disc

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