Hardy-Sobolev spaces on product domains and application

DOI10.1016/j.jmaa.2010.10.057zbMath1221.46033OpenAlexW1993966486MaRDI QIDQ626174

Ruming Gong, Ji Li

Publication date: 22 February 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.10.057

zbMATH Keywords

atomsdiv-curl lemmaarea integralsproduct Hardy-Sobolev space

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (1)

Hardy and Hardy-Sobolev spaces on strongly Lipschitz domains and some applications

Cites Work

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• Hardy Sobolev spaces on strongly Lipschitz domains of \(\mathbb R^n\)
• Complex interpolation of \(H^ p\) spaces on product domains
• A problem in \(H^ p({\mathbb{R}}_ +^ 2\times {\mathbb{R}}_ +^ 2)\) spaces
• Endpoint for the div-curl lemma in Hardy spaces
• Spaces of Carleson measures: duality and interpolation
• A continuous version of duality of \(H^ 1\) with BMO on the bidisc
• Compensated compactness and Hardy spaces
• An atomic decomposition for the Hardy-Sobolev space
• Multi-parameter Div-Curl lemmas
• Some recent developments in Fourier analysis and 𝐻^{𝑝}-theory on product domains
• Multiparameter Riesz commutators
• Calderón-Zygmund theory for product domains: H ^p spaces
• H ^p theory for the poly-disc
• $H^p$ Sobolev spaces
• Second order elliptic operators with complex bounded measurable coefficients in $L^p$, Sobolev and Hardy spaces

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