The Hardy-Littlewood lemma and the estimate of the \(\overline\partial\)-Neumann problem in a general norm

DOI10.1016/j.jmaa.2013.04.007zbMath1311.32004arXiv1208.2224OpenAlexW2962780640WikidataQ124805303 ScholiaQ124805303MaRDI QIDQ2257155

Stefano Pinton

Publication date: 24 February 2015

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

Full work available at URL: https://arxiv.org/abs/1208.2224

zbMATH Keywords

Sobolev estimates\(\overline\partial\)-Neumann problemHardy-Littlewood type estimates

Mathematics Subject Classification ID

(q)-convexity, (q)-concavity (32F10) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Finite-type domains (32T25)

Related Items (1)

Fractional powers of vector operators with first order boundary conditions

Cites Work

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• Regularity of the \(\bar {\partial }\)-Neumann problem at point of infinite type
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• Superlogarithmic estimates on pseudoconvex domains and CR manifolds.
• The inhomogeneous Dirichlet problem in Lipschitz domains
• Subelliptic estimates for the \(\overline\partial\)-Neumann operator on piecewise smooth strictly pseudoconvex domains
• Lectures on the \(L^2\)-Sobolev theory of the \(\bar\partial\)-Neumann problem
• Estimates for regularity of the tangential \documentclass{article}\usepackage{amssymb,amsmath}\begin{document}\pagestyle{empty}$\bar{\partial }$\end{document}-system
• Non‐coercive boundary value problems
• Osservazioni sopra una classe di disuguaglianze

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