Hölder and \(L^ p\)-estimates for the \(\bar\partial\)-equation on non- smooth strictly \(q\)-convex domains
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Publication:1191459
DOI10.1007/BF02567666zbMath0754.35092MaRDI QIDQ1191459
Publication date: 27 September 1992
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/155691
(overlinepartial) and (overlinepartial)-Neumann operators (32W05) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15)
Related Items
Unnamed Item ⋮ SOLUTIONS TO ${\bar\partial}$-EQUATION ON STRONGLY q-CONVEX DOMAINS WITH Lp-ESTIMATES ⋮ On the compactness of the \(\overline{\partial}\)-Neumann operator ⋮ The \(\bar{\partial}\)-equation on an annulus between two strictly \(q\)-convex domains with smooth boundaries ⋮ \(L^p\)-theory and Serre duality for the Cauchy-Riemann equation ⋮ Boundary regularity for the local \(\overline\partial{}_b\)-complex on certain weakly pseudoconvex surfaces
Cites Work
- Integral solution operators for the Cauchy-Riemann equations on pseudoconvex domains
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- Solution of the \({\bar \partial}\)-equation with uniform estimates on strictly q-convex domains with non-smooth boundary
- Henkin-Ramirez kernels with weight factors
- Lokale Kerne und beschränkte Lösungen für den \(\bar\partial\)-Operator auf \(q\)-konvexen Gebieten
- Théorèmes de finitude pour la cohomologie des espaces complexes
- INTEGRAL REPRESENTATION OF FUNCTIONS IN STRICTLY PSEUDOCONVEX DOMAINS AND APPLICATIONS TO THE $ \overline{\partial}$-PROBLEM
- Hölder and Lp estimates for solutions of ∂u = f in strongly pseudoconvex domains
- Integral Representation Formulas and $L^p$-Estimates for the $\bar{\partial}$-Equation.
- The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)
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