\(L^ p\) and Lipschitz estimates for the \({\bar\partial}\)-equation and the \({\bar\partial}\)-Neumann problem

DOI10.1007/BF01457358zbMath0598.35077MaRDI QIDQ1079736

Nancy K. Stanton, Peter C. Greiner, Richard W. Beals

Publication date: 1987

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

Full work available at URL: https://eudml.org/doc/164244

zbMATH Keywords

optimal regularity results\({\bar \partial }\)-Neumann problemasymptotic pseudodifferential calculus

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15) Pseudodifferential operators and other generalizations of partial differential operators (35S99)

Related Items

The raising steps method: applications to the \(\bar{\partial}\) equation in Stein manifolds, The kernel of the \({\bar \partial}\)-Neumann operator on strictly pseudoconvex domains, A note on the kernel of the \({\bar \partial}\)-Neumann operator on strongly pseudo-convex domains, Estimates of singular integral operators with mixed type homogeneities in Hardy classes, The Newlander-Nirenberg theorem for principal bundles, Estimates on kernels for the \({\bar \partial}\)-equation and the \({\bar \partial}\)-Neumann problem, Sobolev embedding in \(\mathbb{C}^ n\) and the \(\bar \partial\)-equation, Integral Representations in Complex Analysis: From Classical Results to Recent Developments, \(L^p\)-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, Sobolev connections and holomorphic structures over Kähler surfaces, Solutions of the \(\bar\partial\)-equation with compact support on Stein and Kähler manifold, Maximal hypoellipticity for the \(\overline{\partial}\)-Neumann problem, \(L^p\)-theory and Serre duality for the Cauchy-Riemann equation, Sobolev inequalities and the \(\overline{\partial }\)-Neumann operator

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