On \(L^ p\) and Hölder estimates for the \({\bar \partial}\)-Neumann problem on strongly pseudo-convex domains

DOI10.1007/BF01456976zbMath0631.32016OpenAlexW2086558918MaRDI QIDQ1094559

Der-Chen E. Chang

Publication date: 1988

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01456976

zbMATH Keywords

Hölder estimatesstrongly pseudoconvex domains\({\bar \partial }\)-Neumann problem\(L^ p\) estimates

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Pseudoconvex domains (32T99)

Related Items

Estimates of singular integral operators with mixed type homogeneities in Hardy classes, Generalized Calderón–Zygmund operators on homogeneous groups and applications, L^p mapping properties for the Cauchy–Riemann equations on Lipschitz domains admitting subelliptic estimates, Estimates on kernels for the \({\bar \partial}\)-equation and the \({\bar \partial}\)-Neumann problem, \(L^p\)-estimates and existence theorems for the \(\bar \partial\)-operator on complete Kähler manifolds, A parametrix for the \(\overline{\partial}\)-Neumann problem on pseudoconvex domains of finite type, Maximal hypoellipticity for the \(\overline{\partial}\)-Neumann problem

Cites Work

• Unnamed Item
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• The heat equation on a CR manifold
• Hilbert integrals, singular integrals, and Radon transforms. I
• Hilbert integrals, singular integrals, and Radon transforms. II
• Qualitative properties of solutions of certain fourth order linear differential equations
• Hypoelliptic differential operators and nilpotent groups
• Intrinsic Lipschitz classes on manifolds with applications to complex function theory and estimates for the \(\overline\partial\) and \(\overline\partial_b\) equations
• Subellipticity of the \(\overline\partial\)-Neumann problem on pseudo- convex domains: sufficient conditions
• Some Further Classes of Pseudo-Differential and Singular-Integral Operators Arising in Boundary-Value Problems I Composition of Operators
• Lectures on Pseudo-Differential Operators: Regularity Theorems and Applications to Non-Elliptic Problems. (MN-24)
• Strictly pseudoconvex domains in 𝐶ⁿ
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
• The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)