Estimates for differential operators of vecor analysis involving \(L^{1}\)-norm

DOI10.4171/JEMS/195zbMath1187.42011arXiv0808.0414MaRDI QIDQ845291

Vladimir Gilelevich Maz'ya

Publication date: 28 January 2010

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.0414

zbMATH Keywords

Newtonian potentialHardy-type inequalitydiv-curl inequalitydivergence free field

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

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Cites Work

• New estimates for elliptic equations and Hodge type systems
• A note on div curl inequalities
• New estimates for the Laplacian, the div-curl, and related Hodge systems
• Boundary estimates for elliptic systems with \(L^{1}\)- data
• On the equation 𝑑𝑖𝑣𝑌=𝑓 and application to control of phases
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