Hölderabschätzungen für Ableitungen von Lösungen der Gleichung \(\bar \partial u = f\) bei streng pseudokonvexem Rand

DOI10.1007/BF01171150zbMath0294.32012MaRDI QIDQ1212587

Wolfgang Alt

Publication date: 1974

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154276

Mathematics Subject Classification ID

Pseudoconvex domains (32T99) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15)

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\(L^ p\) and Lipschitz estimates for the \({\bar\partial}\)-equation and the \({\bar\partial}\)-Neumann problem ⋮ Lösungsoperatoren für den Cauchy-Riemann-Komplex mit \(\mathcal C^K\)- Abschätzungen ⋮ Hölder estimates for homotopy operators on strictly pseudoconvex domains with \(C^2\) boundary ⋮ Stein neighborhood bases of embedded strongly pseudoconvex domains and approximation of mappings ⋮ Randregularität des \({\bar \partial}\)-Problem für stückweise streng pseudokonvexe Gebiete in \({\mathbb C}^ n\). (Boundary regularity of the \({\bar \partial}\)-problem for piecewise strongly pseudoconvex domains in \({\mathbb C}^ n)\) ⋮ Dual of the space of holomorphic functions with continuous boundary values on a strictly pseudoconvex domain in \({\mathbb{C}}^ n\) ⋮ Estimates for a class of integral operators and applications to the \({\bar\partial}\)-Neumann-problem

Cites Work

• Singuläre Integrale mit gemischten Homogenitäten auf Mannigfaltigkeiten und Anwendungen in der Funktionentheorie
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• INTEGRAL REPRESENTATION OF FUNCTIONS IN STRICTLY PSEUDOCONVEX DOMAINS AND APPLICATIONS TO THE $ \overline{\partial}$-PROBLEM
• Hölder and L^p estimates for solutions of ∂u = f in strongly pseudoconvex domains
• EXACT HÖLDER ESTIMATES FOR THE SOLUTIONS OF THE $ \bar\partial$-EQUATION
• Singular integrals and estimates for the Cauchy-Riemann equations
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